Finding the Third Proportional to 171,666 and 262,605

Step by Step Solution

1. Step 1: Write the proportion equation
   171,666 : 262,605 = 262,605 : x
2. Step 2: Convert to fraction form
   171,666/262,605 = 262,605/x
3. Step 3: Cross multiply
   171,666x = 262,605 × 262,605
4. Step 4: Simplify right side
   171,666x = 68,961,386,025
5. Step 5: Solve for x
   x = 68,961,386,025/171,666
6. Step 6: Final answer
   x = 401,718.37