I think that's possible if you check the historical data started from 2013 the price of BTC is around $1,242, that's a 2013 ATH until the next cycle in year 2017 it touch to $19,783 which increase 1,592.83% after that in year 2021 it reach $66,975 that increase around 338%.
If it happens again with a 338% increase, it could reach $226k, but as you can see from the historical price, there is a significant drop in percentage with each cycle. That leads me to believe that $250k is impossible.
Maybe it will be possible in the next cycle.