Finding the Third Proportional to 296,471 and 443,895

Step by Step Solution

1. Step 1: Write the proportion equation
   296,471 : 443,895 = 443,895 : x
2. Step 2: Convert to fraction form
   296,471/443,895 = 443,895/x
3. Step 3: Cross multiply
   296,471x = 443,895 × 443,895
4. Step 4: Simplify right side
   296,471x = 197,042,771,025
5. Step 5: Solve for x
   x = 197,042,771,025/296,471
6. Step 6: Final answer
   x = 664,627.47