Finding the Third Proportional to 62,900 and 137,466

Step by Step Solution

1. Step 1: Write the proportion equation
   62,900 : 137,466 = 137,466 : x
2. Step 2: Convert to fraction form
   62,900/137,466 = 137,466/x
3. Step 3: Cross multiply
   62,900x = 137,466 × 137,466
4. Step 4: Simplify right side
   62,900x = 18,896,901,156
5. Step 5: Solve for x
   x = 18,896,901,156/62,900
6. Step 6: Final answer
   x = 300,427.68