Finding the Third Proportional to 331.69 and 522.38

Step by Step Solution

1. Step 1: Write the proportion equation
   331.69 : 522.38 = 522.38 : x
2. Step 2: Convert to fraction form
   331.69/522.38 = 522.38/x
3. Step 3: Cross multiply
   331.69x = 522.38 × 522.38
4. Step 4: Simplify right side
   331.69x = 272,875.64
5. Step 5: Solve for x
   x = 272,875.64/331.69
6. Step 6: Final answer
   x = 822.69