Finding the Third Proportional to 191.94 and 255.81

Step by Step Solution

1. Step 1: Write the proportion equation
   191.94 : 255.81 = 255.81 : x
2. Step 2: Convert to fraction form
   191.94/255.81 = 255.81/x
3. Step 3: Cross multiply
   191.94x = 255.81 × 255.81
4. Step 4: Simplify right side
   191.94x = 65,440.04
5. Step 5: Solve for x
   x = 65,440.04/191.94
6. Step 6: Final answer
   x = 340.94