Finding the Third Proportional to 83,900 and 124,714

Step by Step Solution

1. Step 1: Write the proportion equation
   83,900 : 124,714 = 124,714 : x
2. Step 2: Convert to fraction form
   83,900/124,714 = 124,714/x
3. Step 3: Cross multiply
   83,900x = 124,714 × 124,714
4. Step 4: Simplify right side
   83,900x = 15,553,581,796
5. Step 5: Solve for x
   x = 15,553,581,796/83,900
6. Step 6: Final answer
   x = 185,382.38