Finding the Third Proportional to 123,538.50 and 251,451

Step by Step Solution

1. Step 1: Write the proportion equation
   123,538.50 : 251,451 = 251,451 : x
2. Step 2: Convert to fraction form
   123,538.50/251,451 = 251,451/x
3. Step 3: Cross multiply
   123,538.50x = 251,451 × 251,451
4. Step 4: Simplify right side
   123,538.50x = 63,227,605,401
5. Step 5: Solve for x
   x = 63,227,605,401/123,538.50
6. Step 6: Final answer
   x = 511,804.87