Finding the Third Proportional to 80,900 and 126,632

Step by Step Solution

1. Step 1: Write the proportion equation
   80,900 : 126,632 = 126,632 : x
2. Step 2: Convert to fraction form
   80,900/126,632 = 126,632/x
3. Step 3: Cross multiply
   80,900x = 126,632 × 126,632
4. Step 4: Simplify right side
   80,900x = 16,035,663,424
5. Step 5: Solve for x
   x = 16,035,663,424/80,900
6. Step 6: Final answer
   x = 198,215.86