Finding the Third Proportional to 219,426 and 327,703.50

Step by Step Solution

1. Step 1: Write the proportion equation
   219,426 : 327,703.50 = 327,703.50 : x
2. Step 2: Convert to fraction form
   219,426/327,703.50 = 327,703.50/x
3. Step 3: Cross multiply
   219,426x = 327,703.50 × 327,703.50
4. Step 4: Simplify right side
   219,426x = 107,389,583,912.25
5. Step 5: Solve for x
   x = 107,389,583,912.25/219,426
6. Step 6: Final answer
   x = 489,411.39