Finding the Third Proportional to 484,224 and 800,256

Step by Step Solution

1. Step 1: Write the proportion equation
   484,224 : 800,256 = 800,256 : x
2. Step 2: Convert to fraction form
   484,224/800,256 = 800,256/x
3. Step 3: Cross multiply
   484,224x = 800,256 × 800,256
4. Step 4: Simplify right side
   484,224x = 640,409,665,536
5. Step 5: Solve for x
   x = 640,409,665,536/484,224
6. Step 6: Final answer
   x = 1,322,548.38