Finding the Third Proportional to 333,894 and 517,043

Step by Step Solution

1. Step 1: Write the proportion equation
   333,894 : 517,043 = 517,043 : x
2. Step 2: Convert to fraction form
   333,894/517,043 = 517,043/x
3. Step 3: Cross multiply
   333,894x = 517,043 × 517,043
4. Step 4: Simplify right side
   333,894x = 267,333,463,849
5. Step 5: Solve for x
   x = 267,333,463,849/333,894
6. Step 6: Final answer
   x = 800,653.69