Finding the Third Proportional to 327,027 and 764,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,027 : 764,269.50 = 764,269.50 : x
2. Step 2: Convert to fraction form
   327,027/764,269.50 = 764,269.50/x
3. Step 3: Cross multiply
   327,027x = 764,269.50 × 764,269.50
4. Step 4: Simplify right side
   327,027x = 584,107,868,630.25
5. Step 5: Solve for x
   x = 584,107,868,630.25/327,027
6. Step 6: Final answer
   x = 1,786,115.12