Finding the Third Proportional to 501,576 and 777,510

Step by Step Solution

1. Step 1: Write the proportion equation
   501,576 : 777,510 = 777,510 : x
2. Step 2: Convert to fraction form
   501,576/777,510 = 777,510/x
3. Step 3: Cross multiply
   501,576x = 777,510 × 777,510
4. Step 4: Simplify right side
   501,576x = 604,521,800,100
5. Step 5: Solve for x
   x = 604,521,800,100/501,576
6. Step 6: Final answer
   x = 1,205,244.67