Finding the Third Proportional to 339,006 and 460,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   339,006 : 460,408.50 = 460,408.50 : x
2. Step 2: Convert to fraction form
   339,006/460,408.50 = 460,408.50/x
3. Step 3: Cross multiply
   339,006x = 460,408.50 × 460,408.50
4. Step 4: Simplify right side
   339,006x = 211,975,986,872.25
5. Step 5: Solve for x
   x = 211,975,986,872.25/339,006
6. Step 6: Final answer
   x = 625,286.83