Finding the Third Proportional to 285.75 and 443.25

Step by Step Solution

1. Step 1: Write the proportion equation
   285.75 : 443.25 = 443.25 : x
2. Step 2: Convert to fraction form
   285.75/443.25 = 443.25/x
3. Step 3: Cross multiply
   285.75x = 443.25 × 443.25
4. Step 4: Simplify right side
   285.75x = 196,470.56
5. Step 5: Solve for x
   x = 196,470.56/285.75
6. Step 6: Final answer
   x = 687.56