Finding the Third Proportional to 80,517.50 and 174,909

Step by Step Solution

1. Step 1: Write the proportion equation
   80,517.50 : 174,909 = 174,909 : x
2. Step 2: Convert to fraction form
   80,517.50/174,909 = 174,909/x
3. Step 3: Cross multiply
   80,517.50x = 174,909 × 174,909
4. Step 4: Simplify right side
   80,517.50x = 30,593,158,281
5. Step 5: Solve for x
   x = 30,593,158,281/80,517.50
6. Step 6: Final answer
   x = 379,956.63