Finding the Third Proportional to 51,838 and 113,042

Step by Step Solution

1. Step 1: Write the proportion equation
   51,838 : 113,042 = 113,042 : x
2. Step 2: Convert to fraction form
   51,838/113,042 = 113,042/x
3. Step 3: Cross multiply
   51,838x = 113,042 × 113,042
4. Step 4: Simplify right side
   51,838x = 12,778,493,764
5. Step 5: Solve for x
   x = 12,778,493,764/51,838
6. Step 6: Final answer
   x = 246,508.23