Finding the Third Proportional to 118.69 and 254.81

Step by Step Solution

1. Step 1: Write the proportion equation
   118.69 : 254.81 = 254.81 : x
2. Step 2: Convert to fraction form
   118.69/254.81 = 254.81/x
3. Step 3: Cross multiply
   118.69x = 254.81 × 254.81
4. Step 4: Simplify right side
   118.69x = 64,929.41
5. Step 5: Solve for x
   x = 64,929.41/118.69
6. Step 6: Final answer
   x = 547.06