Finding the Third Proportional to 82,813 and 179,630

Step by Step Solution

1. Step 1: Write the proportion equation
   82,813 : 179,630 = 179,630 : x
2. Step 2: Convert to fraction form
   82,813/179,630 = 179,630/x
3. Step 3: Cross multiply
   82,813x = 179,630 × 179,630
4. Step 4: Simplify right side
   82,813x = 32,266,936,900
5. Step 5: Solve for x
   x = 32,266,936,900/82,813
6. Step 6: Final answer
   x = 389,636.13