That took me a while to get right (I think). Hitting the correct keys in big jumps is something which just "clicked" one day for me - I'd practiced that section quite a lot every day, and eventually you simply get a natural sense of where your hands are in relation to the keys. If you don't have a deadline to meet, don't rush learning the piece, but more importantly, don't worry.
I don't know how much experience you have, but judging from what you say it seems that you just need more practice with large skips in order to get a natural sense of the keyboard without having to look at it.
Another thing which may help - look at where you place your hands before you place them there. This is akin to tennis, where you look at where on your opponent's court you wish to hit the ball, rather than looking at the ball itself. Likewise, if you look at the correct keys on the keyboard, it's much easier to fit your hands onto them. (duh)