Finding the Third Proportional to 114,256 and 175,728

Step by Step Solution

1. Step 1: Write the proportion equation
   114,256 : 175,728 = 175,728 : x
2. Step 2: Convert to fraction form
   114,256/175,728 = 175,728/x
3. Step 3: Cross multiply
   114,256x = 175,728 × 175,728
4. Step 4: Simplify right side
   114,256x = 30,880,329,984
5. Step 5: Solve for x
   x = 30,880,329,984/114,256
6. Step 6: Final answer
   x = 270,273.16