There is no way anyone can interpret this as the sun reaching the station. The sentence is perfectly clear and doesn't need correcting.

You clearly don't know anything. It is called dangling construction and DOES need correcting. The correct way to avoid misinterpretation is: While I was reaching the station, the sun came out. That's how it's teached guys, we haven't invented it. Greetings.

I do agree with the comments above. Raeching the station'... means that as i was approaching the station the sun came out. maybe the staion is located on a hill so that when you get near it, it seems like that the sun is rising.

I disagree with your interpretation, as the most expected meaning has priority over an ambiguous syntax; the meaning immediately points out the existence of an implicit subject; if you intend to mean an unusual meaning, then you should say everything clearly, like: While the sun was reaching the station, it came out. I believe there his a non stated agreement between writer and reader, that allows implicit parts only where the meaning is in the realm of usual expectations; with this in mind the dangling constructions are safe. Is the tower of Pisa a dangling construction ?