Finding the Third Proportional to 82,316 and 179,698

Step by Step Solution

1. Step 1: Write the proportion equation
   82,316 : 179,698 = 179,698 : x
2. Step 2: Convert to fraction form
   82,316/179,698 = 179,698/x
3. Step 3: Cross multiply
   82,316x = 179,698 × 179,698
4. Step 4: Simplify right side
   82,316x = 32,291,371,204
5. Step 5: Solve for x
   x = 32,291,371,204/82,316
6. Step 6: Final answer
   x = 392,285.48