Finding the Third Proportional to 333,192 and 516,072

Step by Step Solution

1. Step 1: Write the proportion equation
   333,192 : 516,072 = 516,072 : x
2. Step 2: Convert to fraction form
   333,192/516,072 = 516,072/x
3. Step 3: Cross multiply
   333,192x = 516,072 × 516,072
4. Step 4: Simplify right side
   333,192x = 266,330,309,184
5. Step 5: Solve for x
   x = 266,330,309,184/333,192
6. Step 6: Final answer
   x = 799,329.84