Finding the Third Proportional to 296,440 and 443,846

Step by Step Solution

1. Step 1: Write the proportion equation
   296,440 : 443,846 = 443,846 : x
2. Step 2: Convert to fraction form
   296,440/443,846 = 443,846/x
3. Step 3: Cross multiply
   296,440x = 443,846 × 443,846
4. Step 4: Simplify right side
   296,440x = 196,999,271,716
5. Step 5: Solve for x
   x = 196,999,271,716/296,440
6. Step 6: Final answer
   x = 664,550.24