Finding the Third Proportional to 503,017 and 785,144

Step by Step Solution

1. Step 1: Write the proportion equation
   503,017 : 785,144 = 785,144 : x
2. Step 2: Convert to fraction form
   503,017/785,144 = 785,144/x
3. Step 3: Cross multiply
   503,017x = 785,144 × 785,144
4. Step 4: Simplify right side
   503,017x = 616,451,100,736
5. Step 5: Solve for x
   x = 616,451,100,736/503,017
6. Step 6: Final answer
   x = 1,225,507.49