Finding the Third Proportional to 123,516 and 251,406

Step by Step Solution

1. Step 1: Write the proportion equation
   123,516 : 251,406 = 251,406 : x
2. Step 2: Convert to fraction form
   123,516/251,406 = 251,406/x
3. Step 3: Cross multiply
   123,516x = 251,406 × 251,406
4. Step 4: Simplify right side
   123,516x = 63,204,976,836
5. Step 5: Solve for x
   x = 63,204,976,836/123,516
6. Step 6: Final answer
   x = 511,714.89