Finding the Third Proportional to 82,632 and 180,666

Step by Step Solution

1. Step 1: Write the proportion equation
   82,632 : 180,666 = 180,666 : x
2. Step 2: Convert to fraction form
   82,632/180,666 = 180,666/x
3. Step 3: Cross multiply
   82,632x = 180,666 × 180,666
4. Step 4: Simplify right side
   82,632x = 32,640,203,556
5. Step 5: Solve for x
   x = 32,640,203,556/82,632
6. Step 6: Final answer
   x = 395,006.82