Finding the Third Proportional to 80,580 and 174,552

Step by Step Solution

1. Step 1: Write the proportion equation
   80,580 : 174,552 = 174,552 : x
2. Step 2: Convert to fraction form
   80,580/174,552 = 174,552/x
3. Step 3: Cross multiply
   80,580x = 174,552 × 174,552
4. Step 4: Simplify right side
   80,580x = 30,468,400,704
5. Step 5: Solve for x
   x = 30,468,400,704/80,580
6. Step 6: Final answer
   x = 378,113.68