Finding the Third Proportional to 114.38 and 204.38

Step by Step Solution

1. Step 1: Write the proportion equation
   114.38 : 204.38 = 204.38 : x
2. Step 2: Convert to fraction form
   114.38/204.38 = 204.38/x
3. Step 3: Cross multiply
   114.38x = 204.38 × 204.38
4. Step 4: Simplify right side
   114.38x = 41,769.14
5. Step 5: Solve for x
   x = 41,769.14/114.38
6. Step 6: Final answer
   x = 365.19