Finding the Third Proportional to 120,768 and 248,256

Step by Step Solution

1. Step 1: Write the proportion equation
   120,768 : 248,256 = 248,256 : x
2. Step 2: Convert to fraction form
   120,768/248,256 = 248,256/x
3. Step 3: Cross multiply
   120,768x = 248,256 × 248,256
4. Step 4: Simplify right side
   120,768x = 61,631,041,536
5. Step 5: Solve for x
   x = 61,631,041,536/120,768
6. Step 6: Final answer
   x = 510,325.93