Finding the Third Proportional to 82,665 and 180,612

Step by Step Solution

1. Step 1: Write the proportion equation
   82,665 : 180,612 = 180,612 : x
2. Step 2: Convert to fraction form
   82,665/180,612 = 180,612/x
3. Step 3: Cross multiply
   82,665x = 180,612 × 180,612
4. Step 4: Simplify right side
   82,665x = 32,620,694,544
5. Step 5: Solve for x
   x = 32,620,694,544/82,665
6. Step 6: Final answer
   x = 394,613.13