Finding the Third Proportional to 80,566 and 172,790

Step by Step Solution

1. Step 1: Write the proportion equation
   80,566 : 172,790 = 172,790 : x
2. Step 2: Convert to fraction form
   80,566/172,790 = 172,790/x
3. Step 3: Cross multiply
   80,566x = 172,790 × 172,790
4. Step 4: Simplify right side
   80,566x = 29,856,384,100
5. Step 5: Solve for x
   x = 29,856,384,100/80,566
6. Step 6: Final answer
   x = 370,582.93