Finding the Third Proportional to 57,834 and 126,738

Step by Step Solution

1. Step 1: Write the proportion equation
   57,834 : 126,738 = 126,738 : x
2. Step 2: Convert to fraction form
   57,834/126,738 = 126,738/x
3. Step 3: Cross multiply
   57,834x = 126,738 × 126,738
4. Step 4: Simplify right side
   57,834x = 16,062,520,644
5. Step 5: Solve for x
   x = 16,062,520,644/57,834
6. Step 6: Final answer
   x = 277,734.91