Finding the Third Proportional to 289,822 and 443,378

Step by Step Solution

1. Step 1: Write the proportion equation
   289,822 : 443,378 = 443,378 : x
2. Step 2: Convert to fraction form
   289,822/443,378 = 443,378/x
3. Step 3: Cross multiply
   289,822x = 443,378 × 443,378
4. Step 4: Simplify right side
   289,822x = 196,584,050,884
5. Step 5: Solve for x
   x = 196,584,050,884/289,822
6. Step 6: Final answer
   x = 678,292.37