Finding the Third Proportional to 80,688.75 and 177,301.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,688.75 : 177,301.50 = 177,301.50 : x
2. Step 2: Convert to fraction form
   80,688.75/177,301.50 = 177,301.50/x
3. Step 3: Cross multiply
   80,688.75x = 177,301.50 × 177,301.50
4. Step 4: Simplify right side
   80,688.75x = 31,435,821,902.25
5. Step 5: Solve for x
   x = 31,435,821,902.25/80,688.75
6. Step 6: Final answer
   x = 389,593.62