Finding the Third Proportional to 289,904 and 443,502

Step by Step Solution

1. Step 1: Write the proportion equation
   289,904 : 443,502 = 443,502 : x
2. Step 2: Convert to fraction form
   289,904/443,502 = 443,502/x
3. Step 3: Cross multiply
   289,904x = 443,502 × 443,502
4. Step 4: Simplify right side
   289,904x = 196,694,024,004
5. Step 5: Solve for x
   x = 196,694,024,004/289,904
6. Step 6: Final answer
   x = 678,479.86