Finding the Third Proportional to 321,936 and 685,456

Step by Step Solution

1. Step 1: Write the proportion equation
   321,936 : 685,456 = 685,456 : x
2. Step 2: Convert to fraction form
   321,936/685,456 = 685,456/x
3. Step 3: Cross multiply
   321,936x = 685,456 × 685,456
4. Step 4: Simplify right side
   321,936x = 469,849,927,936
5. Step 5: Solve for x
   x = 469,849,927,936/321,936
6. Step 6: Final answer
   x = 1,459,451.34