The second part of Yujiro's talk with Doppo? You mean at the bar(Chapter 138)? When he takes out the pen and paper and starts doing math?
He's comparing a normal human lifespan to how long Pickle has been asleep. Which reduces to 1 / 3,800,000. You probably don't understand the meaning of this figure?
He deducts that 50 years in the number of years a basic human will live. He takes that 50 years and places it over 190,000,000. 190,000,000 being the time Pickle was in the salt rock. Which produces 50 / 190,000,000. Which then reduces to 1 / 3,800,000. This fraction it very* close to 0%. What does this mean?
Basically Doppo is saying that fraction is the odds of himself and the other grapplers of this age being alive and Pickle being resurrected has a 1 out of 3,800,000 chance of happening.
A meeting with a 1 / 3,800,000* chance of occurring. That's damn close to never happening, however it happened. So Yujiro and Doppo assume this is the work of the heavens themselves.
0.00000026315789473684210526315789473684% chance of being alive and meeting Pickle.
"Someone in the heavens is saying the time to decide the strongest in all of history is now" - Doppo points to the sky.
Jack has noticed this as well. While he was chasing Pickle during the second confrontation he thinks to himself. "This much of a meeting, 3 million years of time ..." Which recently happened in chapter 152.
Citation:
Jack: Pickle
Jack: C'mon that can't be right.
Jack: This meeting between us
Jack: have crossed 3 million years.
I don't blame people for not fully grasping the meaning behind it. It took me a damn good few reads to understand what in the hell he was trying to explain. Well now you know!
Chapter # 138 :
Translation by topHunter
Page 01:

Yûjirô and Doppo are speaking of Pickle...
I'm dashing over the front scene !
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Page 02 :

Title :
From the words of the most powerful being ever known
The fight between KATSUMI and Pickle would have been a grave mistake ?! But what is this about ?
Yujiro : You did a big mistake, bastards !
Orochi Doppo : Yes, as you say... Indeed you must be right ....
Page 03 :

Yujiro : Ohh…you were aware of it ?
Orochi Doppo : No. I'm only realizing right now ...
Orochi Doppo : I let myself drift too much ...
Page 04 :

Yujiro : heh you !
Barman : Yes... Yes, mister !

Yujiro : Hand me over a scotch ! ten years old !
Barman : Here it is, this one has too be drink dry…
Yujiro : Give me the bottle !
Page 05-06 :


Page 07 :

Le Barman : Huh !!
Le Barman : Surely,he is not going to drink it all ?!
Le Barman : A pint of scotch ! A pint filled with 70% proof scotch !!
Page 08 :

Yujiro : So, you let yourself drift too much ...
Orochi Doppo : Yep.
Orochi Doppo : I let myself drift, watching Katsumi growing up, to the point of forgetting myself.
Orochi Doppo : Seeing him blossoming, improving under my eyes…
Page 09 :

Orochi Doppo : I went as far as forgetting my duties
Orochi Doppo : My obligations as a master of martial arts.
Orochi Doppo : Being overprotective with a familly member ...
Orochi Doppo : I taught him to fight this way .
Orochi Doppo : Showing off in front of others .
Orochi Doppo : Because people are easily seduced by the legend of my feats.
Page 10:

Orochi Doppo : "Strongest and most powerfull karate in the world...?"
Orochi Doppo : Huh ! that's a crazy thing to say .
Page 11 :

Yujiro : OROCHI DOPPO,
Page 12 :

Yujiro : Finally we could speak franly.
Yujiro : In the deep underground of Colorado,
Yujiro : under a rock 1km thick,
Yujiro : since 190,000,000 years layed a terrible warrior…
Page 13 :

Yujiro : Doppo…For such a creature to be alive again in our era…
Yujiro : What do you think of it ?
Orochi Doppo : Bring me a pen and some paper.
Le Barman : Huh , yes, yes right away !
Page 14 :

Orochi Doppo : This is what I think.
Orochi Doppo : 190,000,000, is the time pickle spend sleeping.
Orochi Doppo : Proportionaly, we were active for 50 years.
190000000/50= 3800000 years is in fact one year in Pickle life.
Page 15 :

Yujiro : HO , interesting .
Orochi Doppo : From a scientific point of view ,
Orochi Doppo : The probability for something like this to happen is about 1 to 3 millions,
Orochi Doppo : We might as well say 0 %. So it was impossible for him to be alive again in our age .
Orochi Doppo : This number…
Orochi Doppo : Is not a number of pure hazard !
Page 16 :

Page 17 :
Yujiro : Hum ! I can brag ,
Yujiro : I have just understood something really important !
Orochi Doppo : What , something about gods....
Yujiro :
"In history, only the time present can be used to dertermine the strongest ."
Page 18 :

Page 19 :

BAKI : Incredible…
BAKI : This is something happening for the first time ever .
Page 20 :

BAKI : It's as if i could not imagine his features or even his shadow.
BAKI : Pickle , you are incredibly strong !?!