Finding the Third Proportional to 150,216 and 321,756

Step by Step Solution

1. Step 1: Write the proportion equation
   150,216 : 321,756 = 321,756 : x
2. Step 2: Convert to fraction form
   150,216/321,756 = 321,756/x
3. Step 3: Cross multiply
   150,216x = 321,756 × 321,756
4. Step 4: Simplify right side
   150,216x = 103,526,923,536
5. Step 5: Solve for x
   x = 103,526,923,536/150,216
6. Step 6: Final answer
   x = 689,187.06