Finding the Third Proportional to 82,307 and 179,491

Step by Step Solution

1. Step 1: Write the proportion equation
   82,307 : 179,491 = 179,491 : x
2. Step 2: Convert to fraction form
   82,307/179,491 = 179,491/x
3. Step 3: Cross multiply
   82,307x = 179,491 × 179,491
4. Step 4: Simplify right side
   82,307x = 32,217,019,081
5. Step 5: Solve for x
   x = 32,217,019,081/82,307
6. Step 6: Final answer
   x = 391,425.02