Finding the Third Proportional to 80,550 and 172,762

Step by Step Solution

1. Step 1: Write the proportion equation
   80,550 : 172,762 = 172,762 : x
2. Step 2: Convert to fraction form
   80,550/172,762 = 172,762/x
3. Step 3: Cross multiply
   80,550x = 172,762 × 172,762
4. Step 4: Simplify right side
   80,550x = 29,846,708,644
5. Step 5: Solve for x
   x = 29,846,708,644/80,550
6. Step 6: Final answer
   x = 370,536.42