Finding the Third Proportional to 384.38 and 819.94

Step by Step Solution

1. Step 1: Write the proportion equation
   384.38 : 819.94 = 819.94 : x
2. Step 2: Convert to fraction form
   384.38/819.94 = 819.94/x
3. Step 3: Cross multiply
   384.38x = 819.94 × 819.94
4. Step 4: Simplify right side
   384.38x = 672,297.50
5. Step 5: Solve for x
   x = 672,297.50/384.38
6. Step 6: Final answer
   x = 1,749.07