Finding the Third Proportional to 443.25 and 696.38

Step by Step Solution

1. Step 1: Write the proportion equation
   443.25 : 696.38 = 696.38 : x
2. Step 2: Convert to fraction form
   443.25/696.38 = 696.38/x
3. Step 3: Cross multiply
   443.25x = 696.38 × 696.38
4. Step 4: Simplify right side
   443.25x = 484,938.14
5. Step 5: Solve for x
   x = 484,938.14/443.25
6. Step 6: Final answer
   x = 1,094.05