Finding the Third Proportional to 80,325 and 174,478

Step by Step Solution

1. Step 1: Write the proportion equation
   80,325 : 174,478 = 174,478 : x
2. Step 2: Convert to fraction form
   80,325/174,478 = 174,478/x
3. Step 3: Cross multiply
   80,325x = 174,478 × 174,478
4. Step 4: Simplify right side
   80,325x = 30,442,572,484
5. Step 5: Solve for x
   x = 30,442,572,484/80,325
6. Step 6: Final answer
   x = 378,992.50