Finding the Third Proportional to 54.46 and 118.53

Step by Step Solution

1. Step 1: Write the proportion equation
   54.46 : 118.53 = 118.53 : x
2. Step 2: Convert to fraction form
   54.46/118.53 = 118.53/x
3. Step 3: Cross multiply
   54.46x = 118.53 × 118.53
4. Step 4: Simplify right side
   54.46x = 14,050.24
5. Step 5: Solve for x
   x = 14,050.24/54.46
6. Step 6: Final answer
   x = 257.99