Finding the Third Proportional to 53,268 and 113,105

Step by Step Solution

1. Step 1: Write the proportion equation
   53,268 : 113,105 = 113,105 : x
2. Step 2: Convert to fraction form
   53,268/113,105 = 113,105/x
3. Step 3: Cross multiply
   53,268x = 113,105 × 113,105
4. Step 4: Simplify right side
   53,268x = 12,792,741,025
5. Step 5: Solve for x
   x = 12,792,741,025/53,268
6. Step 6: Final answer
   x = 240,158.09