Finding the Third Proportional to 123,192 and 171,638

Step by Step Solution

1. Step 1: Write the proportion equation
   123,192 : 171,638 = 171,638 : x
2. Step 2: Convert to fraction form
   123,192/171,638 = 171,638/x
3. Step 3: Cross multiply
   123,192x = 171,638 × 171,638
4. Step 4: Simplify right side
   123,192x = 29,459,603,044
5. Step 5: Solve for x
   x = 29,459,603,044/123,192
6. Step 6: Final answer
   x = 239,135.68