I did this in a wall about as thick (poss more, I couldn’t reach my arm through) at my brother’s. I started with a hole saw: failure. I ended with multiple SDS holes and then using the SDS with a big chisel head as a breaker, then back to the super long drill bit. It was hard work but eventually I could fit a 125mm pipe through it and the extractor fan transformed the bathroom. Which has a no window and did have a damp problem.
Definitely an obvious one, but make sure the floor does slope in the right direction.
We stayed in a place where you end up with 3 cm of water on the side opposite of the drain after a shower.
I dunno about UK but at "my" construction site there is a company that only does "Kernbohrungen", large diameter drillings. Probably not cheap to only to get them to do a single hole though... Otherwise some tool rental company could have the goods? You have boels in the UK?
I did this in a wall about as thick (poss more, I couldn’t reach my arm through) at my brother’s. I started with a hole saw: failure. I ended with multiple SDS holes and then using the SDS with a big chisel head as a breaker, then back to the super long drill bit. It was hard work but eventually I could fit a 125mm pipe through it and the extractor fan transformed the bathroom. Which has a no window and did have a damp problem.