Finding the Third Proportional to 339,417 and 503,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   339,417 : 503,257.50 = 503,257.50 : x
2. Step 2: Convert to fraction form
   339,417/503,257.50 = 503,257.50/x
3. Step 3: Cross multiply
   339,417x = 503,257.50 × 503,257.50
4. Step 4: Simplify right side
   339,417x = 253,268,111,306.25
5. Step 5: Solve for x
   x = 253,268,111,306.25/339,417
6. Step 6: Final answer
   x = 746,185.70