Finding the Third Proportional to 53.75 and 117.69

Step by Step Solution

1. Step 1: Write the proportion equation
   53.75 : 117.69 = 117.69 : x
2. Step 2: Convert to fraction form
   53.75/117.69 = 117.69/x
3. Step 3: Cross multiply
   53.75x = 117.69 × 117.69
4. Step 4: Simplify right side
   53.75x = 13,850.35
5. Step 5: Solve for x
   x = 13,850.35/53.75
6. Step 6: Final answer
   x = 257.68