Finding the Third Proportional to 80,735.50 and 126,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,735.50 : 126,008.50 = 126,008.50 : x
2. Step 2: Convert to fraction form
   80,735.50/126,008.50 = 126,008.50/x
3. Step 3: Cross multiply
   80,735.50x = 126,008.50 × 126,008.50
4. Step 4: Simplify right side
   80,735.50x = 15,878,142,072.25
5. Step 5: Solve for x
   x = 15,878,142,072.25/80,735.50
6. Step 6: Final answer
   x = 196,668.65