Finding the Third Proportional to 404,328,576 and 577,794,900

Step by Step Solution

1. Step 1: Write the proportion equation
   404,328,576 : 577,794,900 = 577,794,900 : x
2. Step 2: Convert to fraction form
   404,328,576/577,794,900 = 577,794,900/x
3. Step 3: Cross multiply
   404,328,576x = 577,794,900 × 577,794,900
4. Step 4: Simplify right side
   404,328,576x = 333,846,946,466,009,984
5. Step 5: Solve for x
   x = 333,846,946,466,009,984/404,328,576
6. Step 6: Final answer
   x = 825,682,294.75