Finding the Third Proportional to 512,568 and 764,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   512,568 : 764,608.50 = 764,608.50 : x
2. Step 2: Convert to fraction form
   512,568/764,608.50 = 764,608.50/x
3. Step 3: Cross multiply
   512,568x = 764,608.50 × 764,608.50
4. Step 4: Simplify right side
   512,568x = 584,626,158,272.25
5. Step 5: Solve for x
   x = 584,626,158,272.25/512,568
6. Step 6: Final answer
   x = 1,140,582.63