Finding the Third Proportional to 80,800 and 172,832

Step by Step Solution

1. Step 1: Write the proportion equation
   80,800 : 172,832 = 172,832 : x
2. Step 2: Convert to fraction form
   80,800/172,832 = 172,832/x
3. Step 3: Cross multiply
   80,800x = 172,832 × 172,832
4. Step 4: Simplify right side
   80,800x = 29,870,900,224
5. Step 5: Solve for x
   x = 29,870,900,224/80,800
6. Step 6: Final answer
   x = 369,689.36