Finding the Third Proportional to 114.25 and 178.38

Step by Step Solution

1. Step 1: Write the proportion equation
   114.25 : 178.38 = 178.38 : x
2. Step 2: Convert to fraction form
   114.25/178.38 = 178.38/x
3. Step 3: Cross multiply
   114.25x = 178.38 × 178.38
4. Step 4: Simplify right side
   114.25x = 31,817.64
5. Step 5: Solve for x
   x = 31,817.64/114.25
6. Step 6: Final answer
   x = 278.49