Finding the Third Proportional to 289,766 and 443,259

Step by Step Solution

1. Step 1: Write the proportion equation
   289,766 : 443,259 = 443,259 : x
2. Step 2: Convert to fraction form
   289,766/443,259 = 443,259/x
3. Step 3: Cross multiply
   289,766x = 443,259 × 443,259
4. Step 4: Simplify right side
   289,766x = 196,478,541,081
5. Step 5: Solve for x
   x = 196,478,541,081/289,766
6. Step 6: Final answer
   x = 678,059.33