Finding the Third Proportional to 333,768 and 517,604

Step by Step Solution

1. Step 1: Write the proportion equation
   333,768 : 517,604 = 517,604 : x
2. Step 2: Convert to fraction form
   333,768/517,604 = 517,604/x
3. Step 3: Cross multiply
   333,768x = 517,604 × 517,604
4. Step 4: Simplify right side
   333,768x = 267,913,900,816
5. Step 5: Solve for x
   x = 267,913,900,816/333,768
6. Step 6: Final answer
   x = 802,694.99