Finding the Third Proportional to 99.94 and 255.75

Step by Step Solution

1. Step 1: Write the proportion equation
   99.94 : 255.75 = 255.75 : x
2. Step 2: Convert to fraction form
   99.94/255.75 = 255.75/x
3. Step 3: Cross multiply
   99.94x = 255.75 × 255.75
4. Step 4: Simplify right side
   99.94x = 65,408.06
5. Step 5: Solve for x
   x = 65,408.06/99.94
6. Step 6: Final answer
   x = 654.49