Assuming that the numbers are not only consecutive, but fall in the alphabetical order given.
Since 116 is the average, and there are 6 numbers given, 3 must fall on either side of 116. That means that the following should be true:
P:111
Q:113
R:115
S:117
T:119
U:121
Therefore the product of R and T, or R * T, would be 115 * 119 = 13,685.