Finding the Third Proportional to 282 and 443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   282 : 443.75 = 443.75 : x
2. Step 2: Convert to fraction form
   282/443.75 = 443.75/x
3. Step 3: Cross multiply
   282x = 443.75 × 443.75
4. Step 4: Simplify right side
   282x = 196,914.06
5. Step 5: Solve for x
   x = 196,914.06/282
6. Step 6: Final answer
   x = 698.28