Finding the Third Proportional to 476,256 and 648,568

Step by Step Solution

1. Step 1: Write the proportion equation
   476,256 : 648,568 = 648,568 : x
2. Step 2: Convert to fraction form
   476,256/648,568 = 648,568/x
3. Step 3: Cross multiply
   476,256x = 648,568 × 648,568
4. Step 4: Simplify right side
   476,256x = 420,640,450,624
5. Step 5: Solve for x
   x = 420,640,450,624/476,256
6. Step 6: Final answer
   x = 883,223.41