Finding the Third Proportional to 219,612 and 321,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   219,612 : 321,040.50 = 321,040.50 : x
2. Step 2: Convert to fraction form
   219,612/321,040.50 = 321,040.50/x
3. Step 3: Cross multiply
   219,612x = 321,040.50 × 321,040.50
4. Step 4: Simplify right side
   219,612x = 103,067,002,640.25
5. Step 5: Solve for x
   x = 103,067,002,640.25/219,612
6. Step 6: Final answer
   x = 469,314.08