Finding the Third Proportional to 339,009 and 495,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   339,009 : 495,784.50 = 495,784.50 : x
2. Step 2: Convert to fraction form
   339,009/495,784.50 = 495,784.50/x
3. Step 3: Cross multiply
   339,009x = 495,784.50 × 495,784.50
4. Step 4: Simplify right side
   339,009x = 245,802,270,440.25
5. Step 5: Solve for x
   x = 245,802,270,440.25/339,009
6. Step 6: Final answer
   x = 725,061.19