To find the average of the first 124 even numbers, we can use the formula for the average of the first n even numbers. The formula to find the n-th even number is given by:

2n

Thus, the first 124 even numbers are: 2, 4, 6, ..., 2 × 124.

The formula for the average of the first n natural numbers is:

Average = (Sum of n numbers) / n

The sum of the first n even numbers is:

Sum = 2 + 4 + 6 + ... + 2n = 2(1 + 2 + 3 + ... + n)

The sum of the first n natural numbers is given by:

Sum = n(n + 1)/2

Therefore, the sum of the first n even numbers is:

2 × n(n + 1)/2 = n(n + 1)

Substituting n = 124:

Sum = 124 × 125

Thus, the average of the first 124 even numbers is:

Average = (124 × 125) / 124

= 125

Therefore, the average of the first 124 even numbers is 125.