Finding the Third Proportional to 522,238 and 704,627

Step by Step Solution

1. Step 1: Write the proportion equation
   522,238 : 704,627 = 704,627 : x
2. Step 2: Convert to fraction form
   522,238/704,627 = 704,627/x
3. Step 3: Cross multiply
   522,238x = 704,627 × 704,627
4. Step 4: Simplify right side
   522,238x = 496,499,209,129
5. Step 5: Solve for x
   x = 496,499,209,129/522,238
6. Step 6: Final answer
   x = 950,714.44