Finding the Third Proportional to 321,139 and 451,834

Step by Step Solution

1. Step 1: Write the proportion equation
   321,139 : 451,834 = 451,834 : x
2. Step 2: Convert to fraction form
   321,139/451,834 = 451,834/x
3. Step 3: Cross multiply
   321,139x = 451,834 × 451,834
4. Step 4: Simplify right side
   321,139x = 204,153,963,556
5. Step 5: Solve for x
   x = 204,153,963,556/321,139
6. Step 6: Final answer
   x = 635,718.38