Finding the Third Proportional to 80,946 and 126,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,946 : 126,697.50 = 126,697.50 : x
2. Step 2: Convert to fraction form
   80,946/126,697.50 = 126,697.50/x
3. Step 3: Cross multiply
   80,946x = 126,697.50 × 126,697.50
4. Step 4: Simplify right side
   80,946x = 16,052,256,506.25
5. Step 5: Solve for x
   x = 16,052,256,506.25/80,946
6. Step 6: Final answer
   x = 198,308.21