Finding the Third Proportional to 82,371 and 179,526

Step by Step Solution

1. Step 1: Write the proportion equation
   82,371 : 179,526 = 179,526 : x
2. Step 2: Convert to fraction form
   82,371/179,526 = 179,526/x
3. Step 3: Cross multiply
   82,371x = 179,526 × 179,526
4. Step 4: Simplify right side
   82,371x = 32,229,584,676
5. Step 5: Solve for x
   x = 32,229,584,676/82,371
6. Step 6: Final answer
   x = 391,273.44