Finding the Third Proportional to 82,690.88 and 123,712.31

Step by Step Solution

1. Step 1: Write the proportion equation
   82,690.88 : 123,712.31 = 123,712.31 : x
2. Step 2: Convert to fraction form
   82,690.88/123,712.31 = 123,712.31/x
3. Step 3: Cross multiply
   82,690.88x = 123,712.31 × 123,712.31
4. Step 4: Simplify right side
   82,690.88x = 15,304,736,264.10
5. Step 5: Solve for x
   x = 15,304,736,264.10/82,690.88
6. Step 6: Final answer
   x = 185,083.74