Finding the Third Proportional to 82,679 and 179,452

Step by Step Solution

1. Step 1: Write the proportion equation
   82,679 : 179,452 = 179,452 : x
2. Step 2: Convert to fraction form
   82,679/179,452 = 179,452/x
3. Step 3: Cross multiply
   82,679x = 179,452 × 179,452
4. Step 4: Simplify right side
   82,679x = 32,203,020,304
5. Step 5: Solve for x
   x = 32,203,020,304/82,679
6. Step 6: Final answer
   x = 389,494.55