Finding the Third Proportional to 493,016 and 704,524

Step by Step Solution

1. Step 1: Write the proportion equation
   493,016 : 704,524 = 704,524 : x
2. Step 2: Convert to fraction form
   493,016/704,524 = 704,524/x
3. Step 3: Cross multiply
   493,016x = 704,524 × 704,524
4. Step 4: Simplify right side
   493,016x = 496,354,066,576
5. Step 5: Solve for x
   x = 496,354,066,576/493,016
6. Step 6: Final answer
   x = 1,006,770.71