Finding the Third Proportional to 150,232 and 321,792

Step by Step Solution

1. Step 1: Write the proportion equation
   150,232 : 321,792 = 321,792 : x
2. Step 2: Convert to fraction form
   150,232/321,792 = 321,792/x
3. Step 3: Cross multiply
   150,232x = 321,792 × 321,792
4. Step 4: Simplify right side
   150,232x = 103,550,091,264
5. Step 5: Solve for x
   x = 103,550,091,264/150,232
6. Step 6: Final answer
   x = 689,267.87