Finding the Third Proportional to 255.94 and 373.69

Step by Step Solution

1. Step 1: Write the proportion equation
   255.94 : 373.69 = 373.69 : x
2. Step 2: Convert to fraction form
   255.94/373.69 = 373.69/x
3. Step 3: Cross multiply
   255.94x = 373.69 × 373.69
4. Step 4: Simplify right side
   255.94x = 139,642.35
5. Step 5: Solve for x
   x = 139,642.35/255.94
6. Step 6: Final answer
   x = 545.61