Finding the Third Proportional to 541,536,777 and 825,002,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   541,536,777 : 825,002,509.50 = 825,002,509.50 : x
2. Step 2: Convert to fraction form
   541,536,777/825,002,509.50 = 825,002,509.50/x
3. Step 3: Cross multiply
   541,536,777x = 825,002,509.50 × 825,002,509.50
4. Step 4: Simplify right side
   541,536,777x = 680,629,140,681,297,536
5. Step 5: Solve for x
   x = 680,629,140,681,297,536/541,536,777
6. Step 6: Final answer
   x = 1,256,847,493.26