Finding the Third Proportional to 82,703 and 181,170

Step by Step Solution

1. Step 1: Write the proportion equation
   82,703 : 181,170 = 181,170 : x
2. Step 2: Convert to fraction form
   82,703/181,170 = 181,170/x
3. Step 3: Cross multiply
   82,703x = 181,170 × 181,170
4. Step 4: Simplify right side
   82,703x = 32,822,568,900
5. Step 5: Solve for x
   x = 32,822,568,900/82,703
6. Step 6: Final answer
   x = 396,872.77