Finding the Third Proportional to 333,870 and 517,653

Step by Step Solution

1. Step 1: Write the proportion equation
   333,870 : 517,653 = 517,653 : x
2. Step 2: Convert to fraction form
   333,870/517,653 = 517,653/x
3. Step 3: Cross multiply
   333,870x = 517,653 × 517,653
4. Step 4: Simplify right side
   333,870x = 267,964,628,409
5. Step 5: Solve for x
   x = 267,964,628,409/333,870
6. Step 6: Final answer
   x = 802,601.70