Finding the Third Proportional to 171,900 and 265,626

Step by Step Solution

1. Step 1: Write the proportion equation
   171,900 : 265,626 = 265,626 : x
2. Step 2: Convert to fraction form
   171,900/265,626 = 265,626/x
3. Step 3: Cross multiply
   171,900x = 265,626 × 265,626
4. Step 4: Simplify right side
   171,900x = 70,557,171,876
5. Step 5: Solve for x
   x = 70,557,171,876/171,900
6. Step 6: Final answer
   x = 410,454.75