Finding the Third Proportional to 53,760 and 116,744

Step by Step Solution

1. Step 1: Write the proportion equation
   53,760 : 116,744 = 116,744 : x
2. Step 2: Convert to fraction form
   53,760/116,744 = 116,744/x
3. Step 3: Cross multiply
   53,760x = 116,744 × 116,744
4. Step 4: Simplify right side
   53,760x = 13,629,161,536
5. Step 5: Solve for x
   x = 13,629,161,536/53,760
6. Step 6: Final answer
   x = 253,518.63