Finding the Third Proportional to 320,112 and 685,584

Step by Step Solution

1. Step 1: Write the proportion equation
   320,112 : 685,584 = 685,584 : x
2. Step 2: Convert to fraction form
   320,112/685,584 = 685,584/x
3. Step 3: Cross multiply
   320,112x = 685,584 × 685,584
4. Step 4: Simplify right side
   320,112x = 470,025,421,056
5. Step 5: Solve for x
   x = 470,025,421,056/320,112
6. Step 6: Final answer
   x = 1,468,315.53