Finding the Third Proportional to 296,256 and 645,024

Step by Step Solution

1. Step 1: Write the proportion equation
   296,256 : 645,024 = 645,024 : x
2. Step 2: Convert to fraction form
   296,256/645,024 = 645,024/x
3. Step 3: Cross multiply
   296,256x = 645,024 × 645,024
4. Step 4: Simplify right side
   296,256x = 416,055,960,576
5. Step 5: Solve for x
   x = 416,055,960,576/296,256
6. Step 6: Final answer
   x = 1,404,379.86