Finding the Third Proportional to 120,816 and 284,256

Step by Step Solution

1. Step 1: Write the proportion equation
   120,816 : 284,256 = 284,256 : x
2. Step 2: Convert to fraction form
   120,816/284,256 = 284,256/x
3. Step 3: Cross multiply
   120,816x = 284,256 × 284,256
4. Step 4: Simplify right side
   120,816x = 80,801,473,536
5. Step 5: Solve for x
   x = 80,801,473,536/120,816
6. Step 6: Final answer
   x = 668,797.79