Finding the Third Proportional to 116.69 and 140.56

Step by Step Solution

1. Step 1: Write the proportion equation
   116.69 : 140.56 = 140.56 : x
2. Step 2: Convert to fraction form
   116.69/140.56 = 140.56/x
3. Step 3: Cross multiply
   116.69x = 140.56 × 140.56
4. Step 4: Simplify right side
   116.69x = 19,757.82
5. Step 5: Solve for x
   x = 19,757.82/116.69
6. Step 6: Final answer
   x = 169.32