Finding the Third Proportional to 123,564 and 251,496

Step by Step Solution

1. Step 1: Write the proportion equation
   123,564 : 251,496 = 251,496 : x
2. Step 2: Convert to fraction form
   123,564/251,496 = 251,496/x
3. Step 3: Cross multiply
   123,564x = 251,496 × 251,496
4. Step 4: Simplify right side
   123,564x = 63,250,238,016
5. Step 5: Solve for x
   x = 63,250,238,016/123,564
6. Step 6: Final answer
   x = 511,882.41