Finding the Third Proportional to 333,754 and 517,748

Step by Step Solution

1. Step 1: Write the proportion equation
   333,754 : 517,748 = 517,748 : x
2. Step 2: Convert to fraction form
   333,754/517,748 = 517,748/x
3. Step 3: Cross multiply
   333,754x = 517,748 × 517,748
4. Step 4: Simplify right side
   333,754x = 268,062,991,504
5. Step 5: Solve for x
   x = 268,062,991,504/333,754
6. Step 6: Final answer
   x = 803,175.37