Finding the Third Proportional to 123,540 and 251,442

Step by Step Solution

1. Step 1: Write the proportion equation
   123,540 : 251,442 = 251,442 : x
2. Step 2: Convert to fraction form
   123,540/251,442 = 251,442/x
3. Step 3: Cross multiply
   123,540x = 251,442 × 251,442
4. Step 4: Simplify right side
   123,540x = 63,223,079,364
5. Step 5: Solve for x
   x = 63,223,079,364/123,540
6. Step 6: Final answer
   x = 511,762.02