Finding the Third Proportional to 333,610 and 516,372

Step by Step Solution

1. Step 1: Write the proportion equation
   333,610 : 516,372 = 516,372 : x
2. Step 2: Convert to fraction form
   333,610/516,372 = 516,372/x
3. Step 3: Cross multiply
   333,610x = 516,372 × 516,372
4. Step 4: Simplify right side
   333,610x = 266,640,042,384
5. Step 5: Solve for x
   x = 266,640,042,384/333,610
6. Step 6: Final answer
   x = 799,256.74