Finding the Third Proportional to 503,016.50 and 785,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   503,016.50 : 785,142.50 = 785,142.50 : x
2. Step 2: Convert to fraction form
   503,016.50/785,142.50 = 785,142.50/x
3. Step 3: Cross multiply
   503,016.50x = 785,142.50 × 785,142.50
4. Step 4: Simplify right side
   503,016.50x = 616,448,745,306.25
5. Step 5: Solve for x
   x = 616,448,745,306.25/503,016.50
6. Step 6: Final answer
   x = 1,225,504.02