Finding the Third Proportional to 320,546 and 685,564

Step by Step Solution

1. Step 1: Write the proportion equation
   320,546 : 685,564 = 685,564 : x
2. Step 2: Convert to fraction form
   320,546/685,564 = 685,564/x
3. Step 3: Cross multiply
   320,546x = 685,564 × 685,564
4. Step 4: Simplify right side
   320,546x = 469,997,998,096
5. Step 5: Solve for x
   x = 469,997,998,096/320,546
6. Step 6: Final answer
   x = 1,466,241.97