Finding the Third Proportional to 501,978 and 764,727

Step by Step Solution

1. Step 1: Write the proportion equation
   501,978 : 764,727 = 764,727 : x
2. Step 2: Convert to fraction form
   501,978/764,727 = 764,727/x
3. Step 3: Cross multiply
   501,978x = 764,727 × 764,727
4. Step 4: Simplify right side
   501,978x = 584,807,384,529
5. Step 5: Solve for x
   x = 584,807,384,529/501,978
6. Step 6: Final answer
   x = 1,165,006.01