Finding the Third Proportional to 296,488 and 653,456

Step by Step Solution

1. Step 1: Write the proportion equation
   296,488 : 653,456 = 653,456 : x
2. Step 2: Convert to fraction form
   296,488/653,456 = 653,456/x
3. Step 3: Cross multiply
   296,488x = 653,456 × 653,456
4. Step 4: Simplify right side
   296,488x = 427,004,743,936
5. Step 5: Solve for x
   x = 427,004,743,936/296,488
6. Step 6: Final answer
   x = 1,440,209.20