Finding the Third Proportional to 59,204 and 126,805

Step by Step Solution

1. Step 1: Write the proportion equation
   59,204 : 126,805 = 126,805 : x
2. Step 2: Convert to fraction form
   59,204/126,805 = 126,805/x
3. Step 3: Cross multiply
   59,204x = 126,805 × 126,805
4. Step 4: Simplify right side
   59,204x = 16,079,508,025
5. Step 5: Solve for x
   x = 16,079,508,025/59,204
6. Step 6: Final answer
   x = 271,594.96