Finding the Third Proportional to 327,729 and 448,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,729 : 448,519.50 = 448,519.50 : x
2. Step 2: Convert to fraction form
   327,729/448,519.50 = 448,519.50/x
3. Step 3: Cross multiply
   327,729x = 448,519.50 × 448,519.50
4. Step 4: Simplify right side
   327,729x = 201,169,741,880.25
5. Step 5: Solve for x
   x = 201,169,741,880.25/327,729
6. Step 6: Final answer
   x = 613,829.54