Finding the Third Proportional to 82,414.50 and 123,567

Step by Step Solution

1. Step 1: Write the proportion equation
   82,414.50 : 123,567 = 123,567 : x
2. Step 2: Convert to fraction form
   82,414.50/123,567 = 123,567/x
3. Step 3: Cross multiply
   82,414.50x = 123,567 × 123,567
4. Step 4: Simplify right side
   82,414.50x = 15,268,803,489
5. Step 5: Solve for x
   x = 15,268,803,489/82,414.50
6. Step 6: Final answer
   x = 185,268.41