Finding the Third Proportional to 51.09 and 116.48

Step by Step Solution

1. Step 1: Write the proportion equation
   51.09 : 116.48 = 116.48 : x
2. Step 2: Convert to fraction form
   51.09/116.48 = 116.48/x
3. Step 3: Cross multiply
   51.09x = 116.48 × 116.48
4. Step 4: Simplify right side
   51.09x = 13,568.61
5. Step 5: Solve for x
   x = 13,568.61/51.09
6. Step 6: Final answer
   x = 265.56