Here, I took a shot ( 
) at the math that you seem too shy to do.
You say the shot was about 237m, and that the round might have been traveling at about 869m/s. So the slug takes ~0.2727s to arrive. The speed of sound on that day was apparently ~351.18m/s, so the report would take ~0.6748s to arrive. So in the recording of Trump’s mic, we should hear the report 0.4021s after the crack. Did I do that right? If so, is that what we actually see in the audio data? I don’t remember, I’ll have to go back and look.
Edit: doesn’t seem like it at first glance. But if I’m wrong, just tell me, I sincerely want to know. https://youtu.be/LouUbMYb7Bc?t=435