Finding the Third Proportional to 333,670 and 517,096

Step by Step Solution

1. Step 1: Write the proportion equation
   333,670 : 517,096 = 517,096 : x
2. Step 2: Convert to fraction form
   333,670/517,096 = 517,096/x
3. Step 3: Cross multiply
   333,670x = 517,096 × 517,096
4. Step 4: Simplify right side
   333,670x = 267,388,273,216
5. Step 5: Solve for x
   x = 267,388,273,216/333,670
6. Step 6: Final answer
   x = 801,355.45