Finding the Third Proportional to 118.78 and 250.78

Step by Step Solution

1. Step 1: Write the proportion equation
   118.78 : 250.78 = 250.78 : x
2. Step 2: Convert to fraction form
   118.78/250.78 = 250.78/x
3. Step 3: Cross multiply
   118.78x = 250.78 × 250.78
4. Step 4: Simplify right side
   118.78x = 62,891.24
5. Step 5: Solve for x
   x = 62,891.24/118.78
6. Step 6: Final answer
   x = 529.47