Finding the Third Proportional to 82,168 and 172,626

Step by Step Solution

1. Step 1: Write the proportion equation
   82,168 : 172,626 = 172,626 : x
2. Step 2: Convert to fraction form
   82,168/172,626 = 172,626/x
3. Step 3: Cross multiply
   82,168x = 172,626 × 172,626
4. Step 4: Simplify right side
   82,168x = 29,799,735,876
5. Step 5: Solve for x
   x = 29,799,735,876/82,168
6. Step 6: Final answer
   x = 362,668.39