Finding the Third Proportional to 144.94 and 352.78

Step by Step Solution

1. Step 1: Write the proportion equation
   144.94 : 352.78 = 352.78 : x
2. Step 2: Convert to fraction form
   144.94/352.78 = 352.78/x
3. Step 3: Cross multiply
   144.94x = 352.78 × 352.78
4. Step 4: Simplify right side
   144.94x = 124,454.61
5. Step 5: Solve for x
   x = 124,454.61/144.94
6. Step 6: Final answer
   x = 858.68