Finding the Third Proportional to 80,352 and 176,022

Step by Step Solution

1. Step 1: Write the proportion equation
   80,352 : 176,022 = 176,022 : x
2. Step 2: Convert to fraction form
   80,352/176,022 = 176,022/x
3. Step 3: Cross multiply
   80,352x = 176,022 × 176,022
4. Step 4: Simplify right side
   80,352x = 30,983,744,484
5. Step 5: Solve for x
   x = 30,983,744,484/80,352
6. Step 6: Final answer
   x = 385,600.17