Finding the Third Proportional to 171,616 and 262,530

Step by Step Solution

1. Step 1: Write the proportion equation
   171,616 : 262,530 = 262,530 : x
2. Step 2: Convert to fraction form
   171,616/262,530 = 262,530/x
3. Step 3: Cross multiply
   171,616x = 262,530 × 262,530
4. Step 4: Simplify right side
   171,616x = 68,922,000,900
5. Step 5: Solve for x
   x = 68,922,000,900/171,616
6. Step 6: Final answer
   x = 401,605.92