Finding the Third Proportional to 296,423 and 443,824

Step by Step Solution

1. Step 1: Write the proportion equation
   296,423 : 443,824 = 443,824 : x
2. Step 2: Convert to fraction form
   296,423/443,824 = 443,824/x
3. Step 3: Cross multiply
   296,423x = 443,824 × 443,824
4. Step 4: Simplify right side
   296,423x = 196,979,742,976
5. Step 5: Solve for x
   x = 196,979,742,976/296,423
6. Step 6: Final answer
   x = 664,522.47