It's only been like 200-300 years since steam power and the Industrial Revolution, so relative to progress I wouldn't exactly call that the near future compared to the rate of change these days.

300 years is such a long time the predictions will look more like science fiction because people will barely believe it's possible.

I'd say one of the more powerful innovations in 300 years will be the ability to copy and render the human consciousness in a computer. That will change a lot about our existence and space exploration/expansion will become far more practical. Humans will become somewhat immortal at that stage and this also means the greatest mind of humanity will live on to keep doing work instead of there being such a bottleneck of great minds.