Finding the Third Proportional to 333,782 and 516,510

Step by Step Solution

1. Step 1: Write the proportion equation
   333,782 : 516,510 = 516,510 : x
2. Step 2: Convert to fraction form
   333,782/516,510 = 516,510/x
3. Step 3: Cross multiply
   333,782x = 516,510 × 516,510
4. Step 4: Simplify right side
   333,782x = 266,782,580,100
5. Step 5: Solve for x
   x = 266,782,580,100/333,782
6. Step 6: Final answer
   x = 799,271.92