Finding the Third Proportional to 114.38 and 152.94

Step by Step Solution

1. Step 1: Write the proportion equation
   114.38 : 152.94 = 152.94 : x
2. Step 2: Convert to fraction form
   114.38/152.94 = 152.94/x
3. Step 3: Cross multiply
   114.38x = 152.94 × 152.94
4. Step 4: Simplify right side
   114.38x = 23,389.88
5. Step 5: Solve for x
   x = 23,389.88/114.38
6. Step 6: Final answer
   x = 204.50