Finding the Third Proportional to 262,605 and 405,570

Step by Step Solution

1. Step 1: Write the proportion equation
   262,605 : 405,570 = 405,570 : x
2. Step 2: Convert to fraction form
   262,605/405,570 = 405,570/x
3. Step 3: Cross multiply
   262,605x = 405,570 × 405,570
4. Step 4: Simplify right side
   262,605x = 164,487,024,900
5. Step 5: Solve for x
   x = 164,487,024,900/262,605
6. Step 6: Final answer
   x = 626,366.69