Finding the Third Proportional to 333,664 and 517,082

Step by Step Solution

1. Step 1: Write the proportion equation
   333,664 : 517,082 = 517,082 : x
2. Step 2: Convert to fraction form
   333,664/517,082 = 517,082/x
3. Step 3: Cross multiply
   333,664x = 517,082 × 517,082
4. Step 4: Simplify right side
   333,664x = 267,373,794,724
5. Step 5: Solve for x
   x = 267,373,794,724/333,664
6. Step 6: Final answer
   x = 801,326.47