Finding the Third Proportional to 339,606 and 523,665

Step by Step Solution

1. Step 1: Write the proportion equation
   339,606 : 523,665 = 523,665 : x
2. Step 2: Convert to fraction form
   339,606/523,665 = 523,665/x
3. Step 3: Cross multiply
   339,606x = 523,665 × 523,665
4. Step 4: Simplify right side
   339,606x = 274,225,032,225
5. Step 5: Solve for x
   x = 274,225,032,225/339,606
6. Step 6: Final answer
   x = 807,479.94