Finding the Third Proportional to 516,336 and 743,666

Step by Step Solution

1. Step 1: Write the proportion equation
   516,336 : 743,666 = 743,666 : x
2. Step 2: Convert to fraction form
   516,336/743,666 = 743,666/x
3. Step 3: Cross multiply
   516,336x = 743,666 × 743,666
4. Step 4: Simplify right side
   516,336x = 553,039,119,556
5. Step 5: Solve for x
   x = 553,039,119,556/516,336
6. Step 6: Final answer
   x = 1,071,083.79