Finding the Third Proportional to 80,432 and 175,764

Step by Step Solution

1. Step 1: Write the proportion equation
   80,432 : 175,764 = 175,764 : x
2. Step 2: Convert to fraction form
   80,432/175,764 = 175,764/x
3. Step 3: Cross multiply
   80,432x = 175,764 × 175,764
4. Step 4: Simplify right side
   80,432x = 30,892,983,696
5. Step 5: Solve for x
   x = 30,892,983,696/80,432
6. Step 6: Final answer
   x = 384,088.22