Finding the Third Proportional to 116,496 and 248,256

Step by Step Solution

1. Step 1: Write the proportion equation
   116,496 : 248,256 = 248,256 : x
2. Step 2: Convert to fraction form
   116,496/248,256 = 248,256/x
3. Step 3: Cross multiply
   116,496x = 248,256 × 248,256
4. Step 4: Simplify right side
   116,496x = 61,631,041,536
5. Step 5: Solve for x
   x = 61,631,041,536/116,496
6. Step 6: Final answer
   x = 529,039.98