Finding the Third Proportional to 493,020 and 704,538

Step by Step Solution

1. Step 1: Write the proportion equation
   493,020 : 704,538 = 704,538 : x
2. Step 2: Convert to fraction form
   493,020/704,538 = 704,538/x
3. Step 3: Cross multiply
   493,020x = 704,538 × 704,538
4. Step 4: Simplify right side
   493,020x = 496,373,793,444
5. Step 5: Solve for x
   x = 496,373,793,444/493,020
6. Step 6: Final answer
   x = 1,006,802.55