Finding the Third Proportional to 83,432 and 173,767

Step by Step Solution

1. Step 1: Write the proportion equation
   83,432 : 173,767 = 173,767 : x
2. Step 2: Convert to fraction form
   83,432/173,767 = 173,767/x
3. Step 3: Cross multiply
   83,432x = 173,767 × 173,767
4. Step 4: Simplify right side
   83,432x = 30,194,970,289
5. Step 5: Solve for x
   x = 30,194,970,289/83,432
6. Step 6: Final answer
   x = 361,911.14