Finding the Third Proportional to 123,966 and 254,466

Step by Step Solution

1. Step 1: Write the proportion equation
   123,966 : 254,466 = 254,466 : x
2. Step 2: Convert to fraction form
   123,966/254,466 = 254,466/x
3. Step 3: Cross multiply
   123,966x = 254,466 × 254,466
4. Step 4: Simplify right side
   123,966x = 64,752,945,156
5. Step 5: Solve for x
   x = 64,752,945,156/123,966
6. Step 6: Final answer
   x = 522,344.39