Finding the Third Proportional to 219,402 and 327,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   219,402 : 327,667.50 = 327,667.50 : x
2. Step 2: Convert to fraction form
   219,402/327,667.50 = 327,667.50/x
3. Step 3: Cross multiply
   219,402x = 327,667.50 × 327,667.50
4. Step 4: Simplify right side
   219,402x = 107,365,990,556.25
5. Step 5: Solve for x
   x = 107,365,990,556.25/219,402
6. Step 6: Final answer
   x = 489,357.39