Finding the Third Proportional to 51,944 and 113,494

Step by Step Solution

1. Step 1: Write the proportion equation
   51,944 : 113,494 = 113,494 : x
2. Step 2: Convert to fraction form
   51,944/113,494 = 113,494/x
3. Step 3: Cross multiply
   51,944x = 113,494 × 113,494
4. Step 4: Simplify right side
   51,944x = 12,880,888,036
5. Step 5: Solve for x
   x = 12,880,888,036/51,944
6. Step 6: Final answer
   x = 247,976.44