Finding the Third Proportional to 443.81 and 842.06

Step by Step Solution

1. Step 1: Write the proportion equation
   443.81 : 842.06 = 842.06 : x
2. Step 2: Convert to fraction form
   443.81/842.06 = 842.06/x
3. Step 3: Cross multiply
   443.81x = 842.06 × 842.06
4. Step 4: Simplify right side
   443.81x = 709,069.25
5. Step 5: Solve for x
   x = 709,069.25/443.81
6. Step 6: Final answer
   x = 1,597.68