Finding the Third Proportional to 82,411.50 and 123,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,411.50 : 123,562.50 = 123,562.50 : x
2. Step 2: Convert to fraction form
   82,411.50/123,562.50 = 123,562.50/x
3. Step 3: Cross multiply
   82,411.50x = 123,562.50 × 123,562.50
4. Step 4: Simplify right side
   82,411.50x = 15,267,691,406.25
5. Step 5: Solve for x
   x = 15,267,691,406.25/82,411.50
6. Step 6: Final answer
   x = 185,261.66