Finding the Third Proportional to 116.44 and 173.53

Step by Step Solution

1. Step 1: Write the proportion equation
   116.44 : 173.53 = 173.53 : x
2. Step 2: Convert to fraction form
   116.44/173.53 = 173.53/x
3. Step 3: Cross multiply
   116.44x = 173.53 × 173.53
4. Step 4: Simplify right side
   116.44x = 30,113.09
5. Step 5: Solve for x
   x = 30,113.09/116.44
6. Step 6: Final answer
   x = 258.62