Finding the Third Proportional to 123,952 and 254,496

Step by Step Solution

1. Step 1: Write the proportion equation
   123,952 : 254,496 = 254,496 : x
2. Step 2: Convert to fraction form
   123,952/254,496 = 254,496/x
3. Step 3: Cross multiply
   123,952x = 254,496 × 254,496
4. Step 4: Simplify right side
   123,952x = 64,768,214,016
5. Step 5: Solve for x
   x = 64,768,214,016/123,952
6. Step 6: Final answer
   x = 522,526.57