Finding the Third Proportional to 60,792 and 126,416

Step by Step Solution

1. Step 1: Write the proportion equation
   60,792 : 126,416 = 126,416 : x
2. Step 2: Convert to fraction form
   60,792/126,416 = 126,416/x
3. Step 3: Cross multiply
   60,792x = 126,416 × 126,416
4. Step 4: Simplify right side
   60,792x = 15,981,005,056
5. Step 5: Solve for x
   x = 15,981,005,056/60,792
6. Step 6: Final answer
   x = 262,880.07