Finding the Third Proportional to 296,438 and 443,841

Step by Step Solution

1. Step 1: Write the proportion equation
   296,438 : 443,841 = 443,841 : x
2. Step 2: Convert to fraction form
   296,438/443,841 = 443,841/x
3. Step 3: Cross multiply
   296,438x = 443,841 × 443,841
4. Step 4: Simplify right side
   296,438x = 196,994,833,281
5. Step 5: Solve for x
   x = 196,994,833,281/296,438
6. Step 6: Final answer
   x = 664,539.75