Finding the Third Proportional to 80,832.75 and 176,142

Step by Step Solution

1. Step 1: Write the proportion equation
   80,832.75 : 176,142 = 176,142 : x
2. Step 2: Convert to fraction form
   80,832.75/176,142 = 176,142/x
3. Step 3: Cross multiply
   80,832.75x = 176,142 × 176,142
4. Step 4: Simplify right side
   80,832.75x = 31,026,004,164
5. Step 5: Solve for x
   x = 31,026,004,164/80,832.75
6. Step 6: Final answer
   x = 383,829.63