Finding the Third Proportional to 50,204 and 108,676

Step by Step Solution

1. Step 1: Write the proportion equation
   50,204 : 108,676 = 108,676 : x
2. Step 2: Convert to fraction form
   50,204/108,676 = 108,676/x
3. Step 3: Cross multiply
   50,204x = 108,676 × 108,676
4. Step 4: Simplify right side
   50,204x = 11,810,472,976
5. Step 5: Solve for x
   x = 11,810,472,976/50,204
6. Step 6: Final answer
   x = 235,249.64