Finding the Third Proportional to 82,638 and 181,107

Step by Step Solution

1. Step 1: Write the proportion equation
   82,638 : 181,107 = 181,107 : x
2. Step 2: Convert to fraction form
   82,638/181,107 = 181,107/x
3. Step 3: Cross multiply
   82,638x = 181,107 × 181,107
4. Step 4: Simplify right side
   82,638x = 32,799,745,449
5. Step 5: Solve for x
   x = 32,799,745,449/82,638
6. Step 6: Final answer
   x = 396,908.75