Finding the Third Proportional to 116.13 and 255.06

Step by Step Solution

1. Step 1: Write the proportion equation
   116.13 : 255.06 = 255.06 : x
2. Step 2: Convert to fraction form
   116.13/255.06 = 255.06/x
3. Step 3: Cross multiply
   116.13x = 255.06 × 255.06
4. Step 4: Simplify right side
   116.13x = 65,056.88
5. Step 5: Solve for x
   x = 65,056.88/116.13
6. Step 6: Final answer
   x = 560.23