Finding the Third Proportional to 82,386 and 179,872

Step by Step Solution

1. Step 1: Write the proportion equation
   82,386 : 179,872 = 179,872 : x
2. Step 2: Convert to fraction form
   82,386/179,872 = 179,872/x
3. Step 3: Cross multiply
   82,386x = 179,872 × 179,872
4. Step 4: Simplify right side
   82,386x = 32,353,936,384
5. Step 5: Solve for x
   x = 32,353,936,384/82,386
6. Step 6: Final answer
   x = 392,711.58