Finding the Third Proportional to 80,928 and 126,684

Step by Step Solution

1. Step 1: Write the proportion equation
   80,928 : 126,684 = 126,684 : x
2. Step 2: Convert to fraction form
   80,928/126,684 = 126,684/x
3. Step 3: Cross multiply
   80,928x = 126,684 × 126,684
4. Step 4: Simplify right side
   80,928x = 16,048,835,856
5. Step 5: Solve for x
   x = 16,048,835,856/80,928
6. Step 6: Final answer
   x = 198,310.05