Finding the Third Proportional to 80,786.25 and 172,569

Step by Step Solution

1. Step 1: Write the proportion equation
   80,786.25 : 172,569 = 172,569 : x
2. Step 2: Convert to fraction form
   80,786.25/172,569 = 172,569/x
3. Step 3: Cross multiply
   80,786.25x = 172,569 × 172,569
4. Step 4: Simplify right side
   80,786.25x = 29,780,059,761
5. Step 5: Solve for x
   x = 29,780,059,761/80,786.25
6. Step 6: Final answer
   x = 368,627.83