Finding the Third Proportional to 116.53 and 255.84

Step by Step Solution

1. Step 1: Write the proportion equation
   116.53 : 255.84 = 255.84 : x
2. Step 2: Convert to fraction form
   116.53/255.84 = 255.84/x
3. Step 3: Cross multiply
   116.53x = 255.84 × 255.84
4. Step 4: Simplify right side
   116.53x = 65,456.02
5. Step 5: Solve for x
   x = 65,456.02/116.53
6. Step 6: Final answer
   x = 561.70