Finding the Third Proportional to 289,774 and 443,267

Step by Step Solution

1. Step 1: Write the proportion equation
   289,774 : 443,267 = 443,267 : x
2. Step 2: Convert to fraction form
   289,774/443,267 = 443,267/x
3. Step 3: Cross multiply
   289,774x = 443,267 × 443,267
4. Step 4: Simplify right side
   289,774x = 196,485,633,289
5. Step 5: Solve for x
   x = 196,485,633,289/289,774
6. Step 6: Final answer
   x = 678,065.09