Finding the Third Proportional to 150,205.50 and 321,734

Step by Step Solution

1. Step 1: Write the proportion equation
   150,205.50 : 321,734 = 321,734 : x
2. Step 2: Convert to fraction form
   150,205.50/321,734 = 321,734/x
3. Step 3: Cross multiply
   150,205.50x = 321,734 × 321,734
4. Step 4: Simplify right side
   150,205.50x = 103,512,766,756
5. Step 5: Solve for x
   x = 103,512,766,756/150,205.50
6. Step 6: Final answer
   x = 689,140.99