Finding the Third Proportional to 150,633 and 321,282

Step by Step Solution

1. Step 1: Write the proportion equation
   150,633 : 321,282 = 321,282 : x
2. Step 2: Convert to fraction form
   150,633/321,282 = 321,282/x
3. Step 3: Cross multiply
   150,633x = 321,282 × 321,282
4. Step 4: Simplify right side
   150,633x = 103,222,123,524
5. Step 5: Solve for x
   x = 103,222,123,524/150,633
6. Step 6: Final answer
   x = 685,255.71