Finding the Third Proportional to 144.44 and 314.56

Step by Step Solution

1. Step 1: Write the proportion equation
   144.44 : 314.56 = 314.56 : x
2. Step 2: Convert to fraction form
   144.44/314.56 = 314.56/x
3. Step 3: Cross multiply
   144.44x = 314.56 × 314.56
4. Step 4: Simplify right side
   144.44x = 98,949.57
5. Step 5: Solve for x
   x = 98,949.57/144.44
6. Step 6: Final answer
   x = 685.07