Finding the Third Proportional to 109,728 and 256,392

Step by Step Solution

1. Step 1: Write the proportion equation
   109,728 : 256,392 = 256,392 : x
2. Step 2: Convert to fraction form
   109,728/256,392 = 256,392/x
3. Step 3: Cross multiply
   109,728x = 256,392 × 256,392
4. Step 4: Simplify right side
   109,728x = 65,736,857,664
5. Step 5: Solve for x
   x = 65,736,857,664/109,728
6. Step 6: Final answer
   x = 599,089.18