Finding the Third Proportional to 361.69 and 442.69

Step by Step Solution

1. Step 1: Write the proportion equation
   361.69 : 442.69 = 442.69 : x
2. Step 2: Convert to fraction form
   361.69/442.69 = 442.69/x
3. Step 3: Cross multiply
   361.69x = 442.69 × 442.69
4. Step 4: Simplify right side
   361.69x = 195,972.22
5. Step 5: Solve for x
   x = 195,972.22/361.69
6. Step 6: Final answer
   x = 541.83