Finding the Third Proportional to 123,184 and 171,626

Step by Step Solution

1. Step 1: Write the proportion equation
   123,184 : 171,626 = 171,626 : x
2. Step 2: Convert to fraction form
   123,184/171,626 = 171,626/x
3. Step 3: Cross multiply
   123,184x = 171,626 × 171,626
4. Step 4: Simplify right side
   123,184x = 29,455,483,876
5. Step 5: Solve for x
   x = 29,455,483,876/123,184
6. Step 6: Final answer
   x = 239,117.77