Finding the Third Proportional to 82,676 and 179,446

Step by Step Solution

1. Step 1: Write the proportion equation
   82,676 : 179,446 = 179,446 : x
2. Step 2: Convert to fraction form
   82,676/179,446 = 179,446/x
3. Step 3: Cross multiply
   82,676x = 179,446 × 179,446
4. Step 4: Simplify right side
   82,676x = 32,200,866,916
5. Step 5: Solve for x
   x = 32,200,866,916/82,676
6. Step 6: Final answer
   x = 389,482.64