Finding the Third Proportional to 512,387 and 765,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   512,387 : 765,757.50 = 765,757.50 : x
2. Step 2: Convert to fraction form
   512,387/765,757.50 = 765,757.50/x
3. Step 3: Cross multiply
   512,387x = 765,757.50 × 765,757.50
4. Step 4: Simplify right side
   512,387x = 586,384,548,806.25
5. Step 5: Solve for x
   x = 586,384,548,806.25/512,387
6. Step 6: Final answer
   x = 1,144,417.30