Finding the Third Proportional to 53,768 and 116,760

Step by Step Solution

1. Step 1: Write the proportion equation
   53,768 : 116,760 = 116,760 : x
2. Step 2: Convert to fraction form
   53,768/116,760 = 116,760/x
3. Step 3: Cross multiply
   53,768x = 116,760 × 116,760
4. Step 4: Simplify right side
   53,768x = 13,632,897,600
5. Step 5: Solve for x
   x = 13,632,897,600/53,768
6. Step 6: Final answer
   x = 253,550.39