Finding the Third Proportional to 40,856 and 83,432

Step by Step Solution

1. Step 1: Write the proportion equation
   40,856 : 83,432 = 83,432 : x
2. Step 2: Convert to fraction form
   40,856/83,432 = 83,432/x
3. Step 3: Cross multiply
   40,856x = 83,432 × 83,432
4. Step 4: Simplify right side
   40,856x = 6,960,898,624
5. Step 5: Solve for x
   x = 6,960,898,624/40,856
6. Step 6: Final answer
   x = 170,376.41