If you want to "fill up" the space, you need tires of a larger outside diameter. However, if you do that, you will need to reprogram the computer with different shift points or suffer the degraded performance. The speedometer would need reprogrammed to compensate. The larger diameter tires might also alter the effectiveness of the anti lock brakes.
Finding tires with a taller aspect ratio might be the easy part.
There are several tires available in 245/50 20
http://www.tirerack.com/tires/TireSearchResults.jsp?width=245/&ratio=50&diameter=20&startIndex=0&search=true&pagelen=20&pagenum=1&pagemark=1&RunFlat=All