Finding the Third Proportional to 109,728 and 164,538

Step by Step Solution

1. Step 1: Write the proportion equation
   109,728 : 164,538 = 164,538 : x
2. Step 2: Convert to fraction form
   109,728/164,538 = 164,538/x
3. Step 3: Cross multiply
   109,728x = 164,538 × 164,538
4. Step 4: Simplify right side
   109,728x = 27,072,753,444
5. Step 5: Solve for x
   x = 27,072,753,444/109,728
6. Step 6: Final answer
   x = 246,726.03