Finding the Third Proportional to 339,965 and 500,052

Step by Step Solution

1. Step 1: Write the proportion equation
   339,965 : 500,052 = 500,052 : x
2. Step 2: Convert to fraction form
   339,965/500,052 = 500,052/x
3. Step 3: Cross multiply
   339,965x = 500,052 × 500,052
4. Step 4: Simplify right side
   339,965x = 250,052,002,704
5. Step 5: Solve for x
   x = 250,052,002,704/339,965
6. Step 6: Final answer
   x = 735,522.78