Finding the Third Proportional to 123,536 and 251,432

Step by Step Solution

1. Step 1: Write the proportion equation
   123,536 : 251,432 = 251,432 : x
2. Step 2: Convert to fraction form
   123,536/251,432 = 251,432/x
3. Step 3: Cross multiply
   123,536x = 251,432 × 251,432
4. Step 4: Simplify right side
   123,536x = 63,218,050,624
5. Step 5: Solve for x
   x = 63,218,050,624/123,536
6. Step 6: Final answer
   x = 511,737.88