Finding the Third Proportional to 118.25 and 255.63

Step by Step Solution

1. Step 1: Write the proportion equation
   118.25 : 255.63 = 255.63 : x
2. Step 2: Convert to fraction form
   118.25/255.63 = 255.63/x
3. Step 3: Cross multiply
   118.25x = 255.63 × 255.63
4. Step 4: Simplify right side
   118.25x = 65,344.14
5. Step 5: Solve for x
   x = 65,344.14/118.25
6. Step 6: Final answer
   x = 552.59