Finding the Third Proportional to 82,976 and 126,192

Step by Step Solution

1. Step 1: Write the proportion equation
   82,976 : 126,192 = 126,192 : x
2. Step 2: Convert to fraction form
   82,976/126,192 = 126,192/x
3. Step 3: Cross multiply
   82,976x = 126,192 × 126,192
4. Step 4: Simplify right side
   82,976x = 15,924,420,864
5. Step 5: Solve for x
   x = 15,924,420,864/82,976
6. Step 6: Final answer
   x = 191,915.99