Finding the Third Proportional to 289,776 and 443,274

Step by Step Solution

1. Step 1: Write the proportion equation
   289,776 : 443,274 = 443,274 : x
2. Step 2: Convert to fraction form
   289,776/443,274 = 443,274/x
3. Step 3: Cross multiply
   289,776x = 443,274 × 443,274
4. Step 4: Simplify right side
   289,776x = 196,491,839,076
5. Step 5: Solve for x
   x = 196,491,839,076/289,776
6. Step 6: Final answer
   x = 678,081.83