Finding the Third Proportional to 116 and 173.69

Step by Step Solution

1. Step 1: Write the proportion equation
   116 : 173.69 = 173.69 : x
2. Step 2: Convert to fraction form
   116/173.69 = 173.69/x
3. Step 3: Cross multiply
   116x = 173.69 × 173.69
4. Step 4: Simplify right side
   116x = 30,167.35
5. Step 5: Solve for x
   x = 30,167.35/116
6. Step 6: Final answer
   x = 260.06