Finding the Third Proportional to 81,856 and 126,380

Step by Step Solution

1. Step 1: Write the proportion equation
   81,856 : 126,380 = 126,380 : x
2. Step 2: Convert to fraction form
   81,856/126,380 = 126,380/x
3. Step 3: Cross multiply
   81,856x = 126,380 × 126,380
4. Step 4: Simplify right side
   81,856x = 15,971,904,400
5. Step 5: Solve for x
   x = 15,971,904,400/81,856
6. Step 6: Final answer
   x = 195,121.98