Finding the Third Proportional to 443.81 and 688.03

Step by Step Solution

1. Step 1: Write the proportion equation
   443.81 : 688.03 = 688.03 : x
2. Step 2: Convert to fraction form
   443.81/688.03 = 688.03/x
3. Step 3: Cross multiply
   443.81x = 688.03 × 688.03
4. Step 4: Simplify right side
   443.81x = 473,387.00
5. Step 5: Solve for x
   x = 473,387.00/443.81
6. Step 6: Final answer
   x = 1,066.64