Finding the Third Proportional to 114.38 and 152.69

Step by Step Solution

1. Step 1: Write the proportion equation
   114.38 : 152.69 = 152.69 : x
2. Step 2: Convert to fraction form
   114.38/152.69 = 152.69/x
3. Step 3: Cross multiply
   114.38x = 152.69 × 152.69
4. Step 4: Simplify right side
   114.38x = 23,313.47
5. Step 5: Solve for x
   x = 23,313.47/114.38
6. Step 6: Final answer
   x = 203.83