Finding the Third Proportional to 541,536,780 and 825,002,514

Step by Step Solution

1. Step 1: Write the proportion equation
   541,536,780 : 825,002,514 = 825,002,514 : x
2. Step 2: Convert to fraction form
   541,536,780/825,002,514 = 825,002,514/x
3. Step 3: Cross multiply
   541,536,780x = 825,002,514 × 825,002,514
4. Step 4: Simplify right side
   541,536,780x = 680,629,148,106,320,256
5. Step 5: Solve for x
   x = 680,629,148,106,320,256/541,536,780
6. Step 6: Final answer
   x = 1,256,847,500.01