Finding the Third Proportional to 285.71 and 443.29

Step by Step Solution

1. Step 1: Write the proportion equation
   285.71 : 443.29 = 443.29 : x
2. Step 2: Convert to fraction form
   285.71/443.29 = 443.29/x
3. Step 3: Cross multiply
   285.71x = 443.29 × 443.29
4. Step 4: Simplify right side
   285.71x = 196,501.73
5. Step 5: Solve for x
   x = 196,501.73/285.71
6. Step 6: Final answer
   x = 687.75