Finding the Third Proportional to 114.50 and 187.38

Step by Step Solution

1. Step 1: Write the proportion equation
   114.50 : 187.38 = 187.38 : x
2. Step 2: Convert to fraction form
   114.50/187.38 = 187.38/x
3. Step 3: Cross multiply
   114.50x = 187.38 × 187.38
4. Step 4: Simplify right side
   114.50x = 35,109.39
5. Step 5: Solve for x
   x = 35,109.39/114.50
6. Step 6: Final answer
   x = 306.63