Finding the Third Proportional to 541,536,779 and 825,002,513

Step by Step Solution

1. Step 1: Write the proportion equation
   541,536,779 : 825,002,513 = 825,002,513 : x
2. Step 2: Convert to fraction form
   541,536,779/825,002,513 = 825,002,513/x
3. Step 3: Cross multiply
   541,536,779x = 825,002,513 × 825,002,513
4. Step 4: Simplify right side
   541,536,779x = 680,629,146,456,315,136
5. Step 5: Solve for x
   x = 680,629,146,456,315,136/541,536,779
6. Step 6: Final answer
   x = 1,256,847,499.28