Finding the Third Proportional to 414,442 and 641,892

Step by Step Solution

1. Step 1: Write the proportion equation
   414,442 : 641,892 = 641,892 : x
2. Step 2: Convert to fraction form
   414,442/641,892 = 641,892/x
3. Step 3: Cross multiply
   414,442x = 641,892 × 641,892
4. Step 4: Simplify right side
   414,442x = 412,025,339,664
5. Step 5: Solve for x
   x = 412,025,339,664/414,442
6. Step 6: Final answer
   x = 994,168.88