Finding the Third Proportional to 501,256 and 777,036

Step by Step Solution

1. Step 1: Write the proportion equation
   501,256 : 777,036 = 777,036 : x
2. Step 2: Convert to fraction form
   501,256/777,036 = 777,036/x
3. Step 3: Cross multiply
   501,256x = 777,036 × 777,036
4. Step 4: Simplify right side
   501,256x = 603,784,945,296
5. Step 5: Solve for x
   x = 603,784,945,296/501,256
6. Step 6: Final answer
   x = 1,204,544.08