Finding the Third Proportional to 339,597 and 497,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   339,597 : 497,362.50 = 497,362.50 : x
2. Step 2: Convert to fraction form
   339,597/497,362.50 = 497,362.50/x
3. Step 3: Cross multiply
   339,597x = 497,362.50 × 497,362.50
4. Step 4: Simplify right side
   339,597x = 247,369,456,406.25
5. Step 5: Solve for x
   x = 247,369,456,406.25/339,597
6. Step 6: Final answer
   x = 728,420.62