Finding the Third Proportional to 109,872 and 164,538

Step by Step Solution

1. Step 1: Write the proportion equation
   109,872 : 164,538 = 164,538 : x
2. Step 2: Convert to fraction form
   109,872/164,538 = 164,538/x
3. Step 3: Cross multiply
   109,872x = 164,538 × 164,538
4. Step 4: Simplify right side
   109,872x = 27,072,753,444
5. Step 5: Solve for x
   x = 27,072,753,444/109,872
6. Step 6: Final answer
   x = 246,402.66