Finding the Third Proportional to 53.75 and 118.38

Step by Step Solution

1. Step 1: Write the proportion equation
   53.75 : 118.38 = 118.38 : x
2. Step 2: Convert to fraction form
   53.75/118.38 = 118.38/x
3. Step 3: Cross multiply
   53.75x = 118.38 × 118.38
4. Step 4: Simplify right side
   53.75x = 14,012.64
5. Step 5: Solve for x
   x = 14,012.64/53.75
6. Step 6: Final answer
   x = 260.70