Finding the Third Proportional to 493,002 and 704,502

Step by Step Solution

1. Step 1: Write the proportion equation
   493,002 : 704,502 = 704,502 : x
2. Step 2: Convert to fraction form
   493,002/704,502 = 704,502/x
3. Step 3: Cross multiply
   493,002x = 704,502 × 704,502
4. Step 4: Simplify right side
   493,002x = 496,323,068,004
5. Step 5: Solve for x
   x = 496,323,068,004/493,002
6. Step 6: Final answer
   x = 1,006,736.42