Finding the Third Proportional to 116.81 and 176.69

Step by Step Solution

1. Step 1: Write the proportion equation
   116.81 : 176.69 = 176.69 : x
2. Step 2: Convert to fraction form
   116.81/176.69 = 176.69/x
3. Step 3: Cross multiply
   116.81x = 176.69 × 176.69
4. Step 4: Simplify right side
   116.81x = 31,218.47
5. Step 5: Solve for x
   x = 31,218.47/116.81
6. Step 6: Final answer
   x = 267.25