Finding the Third Proportional to 80,385 and 174,605

Step by Step Solution

1. Step 1: Write the proportion equation
   80,385 : 174,605 = 174,605 : x
2. Step 2: Convert to fraction form
   80,385/174,605 = 174,605/x
3. Step 3: Cross multiply
   80,385x = 174,605 × 174,605
4. Step 4: Simplify right side
   80,385x = 30,486,906,025
5. Step 5: Solve for x
   x = 30,486,906,025/80,385
6. Step 6: Final answer
   x = 379,261.13