I think this is the least of the problems that technological progress will start creating in the near future and certainly in the more distant future.
The greatest problem is that technological progress at this point, combined with the growth of artificial intelligence, is making it possible to automate more and more human tasks.
For example, these days trading in financial markets is becoming an automated thing: investment banks now do a lot of their trading in the markets through an automated process called "algorithmic trading". And the algorithms doing all of that complex strategic trading are actually written by a very small team of computer-science nerds ("quants"), who end up getting paid a huge amount of money.
In the future this problem of intelligent automation cutting away at the human labour market will become a serious one because machines will pretty much always take up a greater number of tasks than the number of people required to create, programme and maintain them.
And the only solution, frankly a worst case scenario but I see few other alternatives, that comes to my mind, is governments making the right to reproduce a licensed right, and no, there is nothing unprecedented about such a system - think of the Chinese one-child policy, except more elaborate.
Ultimately, governments will inevitably have to face the need of regulating the size of their populations. The Malthusian alternative will probably be nature and human nature doing it for us through civil unrest and all that it will entail, created by technologically generated, increasing unemployment.
So even if we don't end up creating Skynet and maybe the terminator, technological progress will at some point actually become a problem.