Finding the Third Proportional to 119.25 and 256.25

Step by Step Solution

1. Step 1: Write the proportion equation
   119.25 : 256.25 = 256.25 : x
2. Step 2: Convert to fraction form
   119.25/256.25 = 256.25/x
3. Step 3: Cross multiply
   119.25x = 256.25 × 256.25
4. Step 4: Simplify right side
   119.25x = 65,664.06
5. Step 5: Solve for x
   x = 65,664.06/119.25
6. Step 6: Final answer
   x = 550.64