Finding the Third Proportional to 82,707 and 181,173

Step by Step Solution

1. Step 1: Write the proportion equation
   82,707 : 181,173 = 181,173 : x
2. Step 2: Convert to fraction form
   82,707/181,173 = 181,173/x
3. Step 3: Cross multiply
   82,707x = 181,173 × 181,173
4. Step 4: Simplify right side
   82,707x = 32,823,655,929
5. Step 5: Solve for x
   x = 32,823,655,929/82,707
6. Step 6: Final answer
   x = 396,866.72