Finding the Third Proportional to 522,256 and 704,648

Step by Step Solution

1. Step 1: Write the proportion equation
   522,256 : 704,648 = 704,648 : x
2. Step 2: Convert to fraction form
   522,256/704,648 = 704,648/x
3. Step 3: Cross multiply
   522,256x = 704,648 × 704,648
4. Step 4: Simplify right side
   522,256x = 496,528,803,904
5. Step 5: Solve for x
   x = 496,528,803,904/522,256
6. Step 6: Final answer
   x = 950,738.34