Finding the Third Proportional to 289,826 and 443,384

Step by Step Solution

1. Step 1: Write the proportion equation
   289,826 : 443,384 = 443,384 : x
2. Step 2: Convert to fraction form
   289,826/443,384 = 443,384/x
3. Step 3: Cross multiply
   289,826x = 443,384 × 443,384
4. Step 4: Simplify right side
   289,826x = 196,589,371,456
5. Step 5: Solve for x
   x = 196,589,371,456/289,826
6. Step 6: Final answer
   x = 678,301.37