Finding the Third Proportional to 262,008 and 415,530

Step by Step Solution

1. Step 1: Write the proportion equation
   262,008 : 415,530 = 415,530 : x
2. Step 2: Convert to fraction form
   262,008/415,530 = 415,530/x
3. Step 3: Cross multiply
   262,008x = 415,530 × 415,530
4. Step 4: Simplify right side
   262,008x = 172,665,180,900
5. Step 5: Solve for x
   x = 172,665,180,900/262,008
6. Step 6: Final answer
   x = 659,007.29