Finding the Third Proportional to 116.86 and 253.55

Step by Step Solution

1. Step 1: Write the proportion equation
   116.86 : 253.55 = 253.55 : x
2. Step 2: Convert to fraction form
   116.86/253.55 = 253.55/x
3. Step 3: Cross multiply
   116.86x = 253.55 × 253.55
4. Step 4: Simplify right side
   116.86x = 64,286.02
5. Step 5: Solve for x
   x = 64,286.02/116.86
6. Step 6: Final answer
   x = 550.11