Finding the Third Proportional to 82,715 and 181,189

Step by Step Solution

1. Step 1: Write the proportion equation
   82,715 : 181,189 = 181,189 : x
2. Step 2: Convert to fraction form
   82,715/181,189 = 181,189/x
3. Step 3: Cross multiply
   82,715x = 181,189 × 181,189
4. Step 4: Simplify right side
   82,715x = 32,829,453,721
5. Step 5: Solve for x
   x = 32,829,453,721/82,715
6. Step 6: Final answer
   x = 396,898.43