Finding the Third Proportional to 123,510 and 251,385

Step by Step Solution

1. Step 1: Write the proportion equation
   123,510 : 251,385 = 251,385 : x
2. Step 2: Convert to fraction form
   123,510/251,385 = 251,385/x
3. Step 3: Cross multiply
   123,510x = 251,385 × 251,385
4. Step 4: Simplify right side
   123,510x = 63,194,418,225
5. Step 5: Solve for x
   x = 63,194,418,225/123,510
6. Step 6: Final answer
   x = 511,654.26