Finding the Third Proportional to 82,376 and 179,976

Step by Step Solution

1. Step 1: Write the proportion equation
   82,376 : 179,976 = 179,976 : x
2. Step 2: Convert to fraction form
   82,376/179,976 = 179,976/x
3. Step 3: Cross multiply
   82,376x = 179,976 × 179,976
4. Step 4: Simplify right side
   82,376x = 32,391,360,576
5. Step 5: Solve for x
   x = 32,391,360,576/82,376
6. Step 6: Final answer
   x = 393,213.56