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SkyDK comments on Harry Potter and the Methods of Rationality discussion thread, part 12 - Less Wrong Discussion
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Harry has already figured out quite a few solutions to the monetary problem. The long run (and cheap solution) would be to apply himself and his side to the clearing of Hermione's name. That wouldn't just earn him a 100.000 galleons it would also improve Hermione's political standing, leave Malfoy's (and to a certain extent Dumbledore's) reputation in its currently weakened state plus strengthen his argument against the political structure of Magical Britain. Not to mention he can do all this WHILE having starting his money-making schemes. Though we might as well not care since I seem to recall that the great EY seems to have said that this story ends after the first year of Hogwarts. Regardless: the interesting part is what kind of extra power Lucius has vis-a-vis Harry now.
Wait... what?
You're right, I had completely forgotten about clearing Hermione. The first two options I listed could still be used to pay back the debt if the rules surrounding it are too ridiculous, though. This is, of course, simply an extension of his other money-making schemes or a possible source of starting capital.
My only problem with the two listed options is that they both require him to renege on important political capital. I'd rather go for some arbitraging then (perhaps with time-turn earned lottery start-up capital).
If smartly done he'd find the number of some lottery tickets, #5 or #6; buy said tickets and get the memory removed of why and how he did it.
... In general a time turner should make the whole money-making part easier than what's worth thinking about.