Finding the Third Proportional to 80,563.50 and 117,949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,563.50 : 117,949.50 = 117,949.50 : x
2. Step 2: Convert to fraction form
   80,563.50/117,949.50 = 117,949.50/x
3. Step 3: Cross multiply
   80,563.50x = 117,949.50 × 117,949.50
4. Step 4: Simplify right side
   80,563.50x = 13,912,084,550.25
5. Step 5: Solve for x
   x = 13,912,084,550.25/80,563.50
6. Step 6: Final answer
   x = 172,684.71