Finding the Third Proportional to 123,980.31 and 185,489.92

Step by Step Solution

1. Step 1: Write the proportion equation
   123,980.31 : 185,489.92 = 185,489.92 : x
2. Step 2: Convert to fraction form
   123,980.31/185,489.92 = 185,489.92/x
3. Step 3: Cross multiply
   123,980.31x = 185,489.92 × 185,489.92
4. Step 4: Simplify right side
   123,980.31x = 34,406,510,754.91
5. Step 5: Solve for x
   x = 34,406,510,754.91/123,980.31
6. Step 6: Final answer
   x = 277,515.93