Finding the Third Proportional to 51.19 and 116.86

Step by Step Solution

1. Step 1: Write the proportion equation
   51.19 : 116.86 = 116.86 : x
2. Step 2: Convert to fraction form
   51.19/116.86 = 116.86/x
3. Step 3: Cross multiply
   51.19x = 116.86 × 116.86
4. Step 4: Simplify right side
   51.19x = 13,656.11
5. Step 5: Solve for x
   x = 13,656.11/51.19
6. Step 6: Final answer
   x = 266.79