Finding the Third Proportional to 80,221.50 and 174,402

Step by Step Solution

1. Step 1: Write the proportion equation
   80,221.50 : 174,402 = 174,402 : x
2. Step 2: Convert to fraction form
   80,221.50/174,402 = 174,402/x
3. Step 3: Cross multiply
   80,221.50x = 174,402 × 174,402
4. Step 4: Simplify right side
   80,221.50x = 30,416,057,604
5. Step 5: Solve for x
   x = 30,416,057,604/80,221.50
6. Step 6: Final answer
   x = 379,150.95