Finding the Third Proportional to 501,426 and 776,760

Step by Step Solution

1. Step 1: Write the proportion equation
   501,426 : 776,760 = 776,760 : x
2. Step 2: Convert to fraction form
   501,426/776,760 = 776,760/x
3. Step 3: Cross multiply
   501,426x = 776,760 × 776,760
4. Step 4: Simplify right side
   501,426x = 603,356,097,600
5. Step 5: Solve for x
   x = 603,356,097,600/501,426
6. Step 6: Final answer
   x = 1,203,280.44