Finding the Third Proportional to 243,199.50 and 327,404.25

Step by Step Solution

1. Step 1: Write the proportion equation
   243,199.50 : 327,404.25 = 327,404.25 : x
2. Step 2: Convert to fraction form
   243,199.50/327,404.25 = 327,404.25/x
3. Step 3: Cross multiply
   243,199.50x = 327,404.25 × 327,404.25
4. Step 4: Simplify right side
   243,199.50x = 107,193,542,918.06
5. Step 5: Solve for x
   x = 107,193,542,918.06/243,199.50
6. Step 6: Final answer
   x = 440,763.83