Finding the Third Proportional to 184.69 and 286.31

Step by Step Solution

1. Step 1: Write the proportion equation
   184.69 : 286.31 = 286.31 : x
2. Step 2: Convert to fraction form
   184.69/286.31 = 286.31/x
3. Step 3: Cross multiply
   184.69x = 286.31 × 286.31
4. Step 4: Simplify right side
   184.69x = 81,974.85
5. Step 5: Solve for x
   x = 81,974.85/184.69
6. Step 6: Final answer
   x = 443.86