Finding the Third Proportional to 185.25 and 400.69

Step by Step Solution

1. Step 1: Write the proportion equation
   185.25 : 400.69 = 400.69 : x
2. Step 2: Convert to fraction form
   185.25/400.69 = 400.69/x
3. Step 3: Cross multiply
   185.25x = 400.69 × 400.69
4. Step 4: Simplify right side
   185.25x = 160,550.47
5. Step 5: Solve for x
   x = 160,550.47/185.25
6. Step 6: Final answer
   x = 866.67