Finding the Third Proportional to 327,861 and 521,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,861 : 521,329.50 = 521,329.50 : x
2. Step 2: Convert to fraction form
   327,861/521,329.50 = 521,329.50/x
3. Step 3: Cross multiply
   327,861x = 521,329.50 × 521,329.50
4. Step 4: Simplify right side
   327,861x = 271,784,447,570.25
5. Step 5: Solve for x
   x = 271,784,447,570.25/327,861
6. Step 6: Final answer
   x = 828,962.42