Finding the Third Proportional to 114.79 and 186.71

Step by Step Solution

1. Step 1: Write the proportion equation
   114.79 : 186.71 = 186.71 : x
2. Step 2: Convert to fraction form
   114.79/186.71 = 186.71/x
3. Step 3: Cross multiply
   114.79x = 186.71 × 186.71
4. Step 4: Simplify right side
   114.79x = 34,862.43
5. Step 5: Solve for x
   x = 34,862.43/114.79
6. Step 6: Final answer
   x = 303.72