Finding the Third Proportional to 113,760 and 248,256

Step by Step Solution

1. Step 1: Write the proportion equation
   113,760 : 248,256 = 248,256 : x
2. Step 2: Convert to fraction form
   113,760/248,256 = 248,256/x
3. Step 3: Cross multiply
   113,760x = 248,256 × 248,256
4. Step 4: Simplify right side
   113,760x = 61,631,041,536
5. Step 5: Solve for x
   x = 61,631,041,536/113,760
6. Step 6: Final answer
   x = 541,763.73