If your not cheating, then the fastest way is to buy high level logs and fletch them. Since arrows and bows are sellable you'll be loosing only some of the money.
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Investing money into Logs appropriate for making the highest level Longbows you can, as well as investing in bow strings, but this can become very costly.
id go with fletching see im 92 fletching and i gave up cuz its soo long but on the other side u can take cooking cause less people hae 99 cooking rather then 99 fletching
If you ask me that would be fletching, otherwise they are all the same, but cheapest has got to be hunter. completely wrong fletching can take months construction is easily the fastest skill taking less then a week easy if you have money, and you can also make more money doing magic then hunter (I made 21M for 91-99). the fastest skills are the most expensive and the cheapest skills are the slowest. this is kind of true but construction is both cheaper and faster then prayer. While you can make money (not a whole lot) doing theiving; there's even a guide to get it from 1-99 in 94 hours. hope this helps
Seriously, the fastest way from level 90-99, is Soul Wars. It takes 2 weeks to get the 1000 points and every 100 points gets you a level.
Say you were on around 9m xp which is level 95, it would take to above 13m to get to level 99 so around 4m experience or so good luck on that.