Finding the Third Proportional to 171,648 and 262,578

Step by Step Solution

1. Step 1: Write the proportion equation
   171,648 : 262,578 = 262,578 : x
2. Step 2: Convert to fraction form
   171,648/262,578 = 262,578/x
3. Step 3: Cross multiply
   171,648x = 262,578 × 262,578
4. Step 4: Simplify right side
   171,648x = 68,947,206,084
5. Step 5: Solve for x
   x = 68,947,206,084/171,648
6. Step 6: Final answer
   x = 401,677.89