Finding the Third Proportional to 150,696 and 321,384

Step by Step Solution

1. Step 1: Write the proportion equation
   150,696 : 321,384 = 321,384 : x
2. Step 2: Convert to fraction form
   150,696/321,384 = 321,384/x
3. Step 3: Cross multiply
   150,696x = 321,384 × 321,384
4. Step 4: Simplify right side
   150,696x = 103,287,675,456
5. Step 5: Solve for x
   x = 103,287,675,456/150,696
6. Step 6: Final answer
   x = 685,404.23