Finding the Third Proportional to 116.75 and 255.93

Step by Step Solution

1. Step 1: Write the proportion equation
   116.75 : 255.93 = 255.93 : x
2. Step 2: Convert to fraction form
   116.75/255.93 = 255.93/x
3. Step 3: Cross multiply
   116.75x = 255.93 × 255.93
4. Step 4: Simplify right side
   116.75x = 65,501.75
5. Step 5: Solve for x
   x = 65,501.75/116.75
6. Step 6: Final answer
   x = 561.02