Finding the Third Proportional to 82,600 and 175,856

Step by Step Solution

1. Step 1: Write the proportion equation
   82,600 : 175,856 = 175,856 : x
2. Step 2: Convert to fraction form
   82,600/175,856 = 175,856/x
3. Step 3: Cross multiply
   82,600x = 175,856 × 175,856
4. Step 4: Simplify right side
   82,600x = 30,925,332,736
5. Step 5: Solve for x
   x = 30,925,332,736/82,600
6. Step 6: Final answer
   x = 374,398.70