Finding the Third Proportional to 116.54 and 173.92

Step by Step Solution

1. Step 1: Write the proportion equation
   116.54 : 173.92 = 173.92 : x
2. Step 2: Convert to fraction form
   116.54/173.92 = 173.92/x
3. Step 3: Cross multiply
   116.54x = 173.92 × 173.92
4. Step 4: Simplify right side
   116.54x = 30,247.46
5. Step 5: Solve for x
   x = 30,247.46/116.54
6. Step 6: Final answer
   x = 259.54