There's no possible way.
We were born at the beginning of civilization. There were the ancients, then us. A hundred thousand years from now, what we write today has a chance of still being around. The language that people speak will be completely alien. But what we write -- our programs -- will still be runnable. There will be emulators for our architectures, and random work from random people in 2015 AD will happen to persist to 102,283 AD.
We're going to be the oldest ancients that they consider real. They'll be able to look at and interact with our work. And even modify it and remix it. And we'll be thought of as just barely more advanced than cavedwellers.
Now, with that sort of context, there seems no possible chance that we can know how far away we are from the Manhattan project era of computing. Very far, suffice to say.
To a certain extent, it's not possible to compare the progress in physics with computing. On one hand, we've unravelled nature to the point where there are no mysteries left except in high-energy physics. There's also no way to know how profoundly the remaining mysteries might impact the world.
Whereas the depth and the mysteries within computing are eternal. If there are still humans in 102,283 AD, there will still be computing, and they'll still be coming up with ever-more complex ways of computing. All of the institutional effort between now and then will push the field way, way beyond the limited horizons that we can currently imagine.