Finding the Third Proportional to 82,810 and 171,696

Step by Step Solution

1. Step 1: Write the proportion equation
   82,810 : 171,696 = 171,696 : x
2. Step 2: Convert to fraction form
   82,810/171,696 = 171,696/x
3. Step 3: Cross multiply
   82,810x = 171,696 × 171,696
4. Step 4: Simplify right side
   82,810x = 29,479,516,416
5. Step 5: Solve for x
   x = 29,479,516,416/82,810
6. Step 6: Final answer
   x = 355,989.81