ANSWER:
92 and 94.
The two consecutive numbers are 92 and 94.
STEP-BY-STEP EXPLANATION:
Let first even number = x
Second even number = x + 2
x + x + 2 = 186
2x + 2 = 186
2x = 186 - 2
2x = 184
x = 184 / 2
x = 92
Second even number = x + 2 = 92 + 2 = 94