Finding the Third Proportional to 379.69 and 814.43

Step by Step Solution

1. Step 1: Write the proportion equation
   379.69 : 814.43 = 814.43 : x
2. Step 2: Convert to fraction form
   379.69/814.43 = 814.43/x
3. Step 3: Cross multiply
   379.69x = 814.43 × 814.43
4. Step 4: Simplify right side
   379.69x = 663,295.72
5. Step 5: Solve for x
   x = 663,295.72/379.69
6. Step 6: Final answer
   x = 1,746.95