Finding the Third Proportional to 80,209.50 and 174,275.25

Step by Step Solution

1. Step 1: Write the proportion equation
   80,209.50 : 174,275.25 = 174,275.25 : x
2. Step 2: Convert to fraction form
   80,209.50/174,275.25 = 174,275.25/x
3. Step 3: Cross multiply
   80,209.50x = 174,275.25 × 174,275.25
4. Step 4: Simplify right side
   80,209.50x = 30,371,862,762.56
5. Step 5: Solve for x
   x = 30,371,862,762.56/80,209.50
6. Step 6: Final answer
   x = 378,656.68