Finding the Third Proportional to 150,234 and 321,796

Step by Step Solution

1. Step 1: Write the proportion equation
   150,234 : 321,796 = 321,796 : x
2. Step 2: Convert to fraction form
   150,234/321,796 = 321,796/x
3. Step 3: Cross multiply
   150,234x = 321,796 × 321,796
4. Step 4: Simplify right side
   150,234x = 103,552,665,616
5. Step 5: Solve for x
   x = 103,552,665,616/150,234
6. Step 6: Final answer
   x = 689,275.83