Finding the Third Proportional to 114.47 and 173.53

Step by Step Solution

1. Step 1: Write the proportion equation
   114.47 : 173.53 = 173.53 : x
2. Step 2: Convert to fraction form
   114.47/173.53 = 173.53/x
3. Step 3: Cross multiply
   114.47x = 173.53 × 173.53
4. Step 4: Simplify right side
   114.47x = 30,113.09
5. Step 5: Solve for x
   x = 30,113.09/114.47
6. Step 6: Final answer
   x = 263.07