Finding the Third Proportional to 212,049 and 461,499

Step by Step Solution

1. Step 1: Write the proportion equation
   212,049 : 461,499 = 461,499 : x
2. Step 2: Convert to fraction form
   212,049/461,499 = 461,499/x
3. Step 3: Cross multiply
   212,049x = 461,499 × 461,499
4. Step 4: Simplify right side
   212,049x = 212,981,327,001
5. Step 5: Solve for x
   x = 212,981,327,001/212,049
6. Step 6: Final answer
   x = 1,004,396.75