Finding the Third Proportional to 150,514 and 321,780

Step by Step Solution

1. Step 1: Write the proportion equation
   150,514 : 321,780 = 321,780 : x
2. Step 2: Convert to fraction form
   150,514/321,780 = 321,780/x
3. Step 3: Cross multiply
   150,514x = 321,780 × 321,780
4. Step 4: Simplify right side
   150,514x = 103,542,368,400
5. Step 5: Solve for x
   x = 103,542,368,400/150,514
6. Step 6: Final answer
   x = 687,925.17