Finding the Third Proportional to 123,294 and 252,414

Step by Step Solution

1. Step 1: Write the proportion equation
   123,294 : 252,414 = 252,414 : x
2. Step 2: Convert to fraction form
   123,294/252,414 = 252,414/x
3. Step 3: Cross multiply
   123,294x = 252,414 × 252,414
4. Step 4: Simplify right side
   123,294x = 63,712,827,396
5. Step 5: Solve for x
   x = 63,712,827,396/123,294
6. Step 6: Final answer
   x = 516,755.30