Finding the Third Proportional to 114.89 and 286.03

Step by Step Solution

1. Step 1: Write the proportion equation
   114.89 : 286.03 = 286.03 : x
2. Step 2: Convert to fraction form
   114.89/286.03 = 286.03/x
3. Step 3: Cross multiply
   114.89x = 286.03 × 286.03
4. Step 4: Simplify right side
   114.89x = 81,813.88
5. Step 5: Solve for x
   x = 81,813.88/114.89
6. Step 6: Final answer
   x = 712.10