Finding the Third Proportional to 80,881 and 175,505

Step by Step Solution

1. Step 1: Write the proportion equation
   80,881 : 175,505 = 175,505 : x
2. Step 2: Convert to fraction form
   80,881/175,505 = 175,505/x
3. Step 3: Cross multiply
   80,881x = 175,505 × 175,505
4. Step 4: Simplify right side
   80,881x = 30,802,005,025
5. Step 5: Solve for x
   x = 30,802,005,025/80,881
6. Step 6: Final answer
   x = 380,831.16