Finding the Third Proportional to 301.69 and 438.38

Step by Step Solution

1. Step 1: Write the proportion equation
   301.69 : 438.38 = 438.38 : x
2. Step 2: Convert to fraction form
   301.69/438.38 = 438.38/x
3. Step 3: Cross multiply
   301.69x = 438.38 × 438.38
4. Step 4: Simplify right side
   301.69x = 192,172.64
5. Step 5: Solve for x
   x = 192,172.64/301.69
6. Step 6: Final answer
   x = 636.99