Finding the Third Proportional to 114.38 and 182.69

Step by Step Solution

1. Step 1: Write the proportion equation
   114.38 : 182.69 = 182.69 : x
2. Step 2: Convert to fraction form
   114.38/182.69 = 182.69/x
3. Step 3: Cross multiply
   114.38x = 182.69 × 182.69
4. Step 4: Simplify right side
   114.38x = 33,374.72
5. Step 5: Solve for x
   x = 33,374.72/114.38
6. Step 6: Final answer
   x = 291.80