Finding the Third Proportional to 85,632 and 175,872

Step by Step Solution

1. Step 1: Write the proportion equation
   85,632 : 175,872 = 175,872 : x
2. Step 2: Convert to fraction form
   85,632/175,872 = 175,872/x
3. Step 3: Cross multiply
   85,632x = 175,872 × 175,872
4. Step 4: Simplify right side
   85,632x = 30,930,960,384
5. Step 5: Solve for x
   x = 30,930,960,384/85,632
6. Step 6: Final answer
   x = 361,207.96