Finding the Third Proportional to 123,630 and 185,472

Step by Step Solution

1. Step 1: Write the proportion equation
   123,630 : 185,472 = 185,472 : x
2. Step 2: Convert to fraction form
   123,630/185,472 = 185,472/x
3. Step 3: Cross multiply
   123,630x = 185,472 × 185,472
4. Step 4: Simplify right side
   123,630x = 34,399,862,784
5. Step 5: Solve for x
   x = 34,399,862,784/123,630
6. Step 6: Final answer
   x = 278,248.51