Finding the Third Proportional to 109,996 and 171,564

Step by Step Solution

1. Step 1: Write the proportion equation
   109,996 : 171,564 = 171,564 : x
2. Step 2: Convert to fraction form
   109,996/171,564 = 171,564/x
3. Step 3: Cross multiply
   109,996x = 171,564 × 171,564
4. Step 4: Simplify right side
   109,996x = 29,434,206,096
5. Step 5: Solve for x
   x = 29,434,206,096/109,996
6. Step 6: Final answer
   x = 267,593.42