Finding the Third Proportional to 501,405 and 776,762

Step by Step Solution

1. Step 1: Write the proportion equation
   501,405 : 776,762 = 776,762 : x
2. Step 2: Convert to fraction form
   501,405/776,762 = 776,762/x
3. Step 3: Cross multiply
   501,405x = 776,762 × 776,762
4. Step 4: Simplify right side
   501,405x = 603,359,204,644
5. Step 5: Solve for x
   x = 603,359,204,644/501,405
6. Step 6: Final answer
   x = 1,203,337.03