Finding the Third Proportional to 382,014 and 783,144

Step by Step Solution

1. Step 1: Write the proportion equation
   382,014 : 783,144 = 783,144 : x
2. Step 2: Convert to fraction form
   382,014/783,144 = 783,144/x
3. Step 3: Cross multiply
   382,014x = 783,144 × 783,144
4. Step 4: Simplify right side
   382,014x = 613,314,524,736
5. Step 5: Solve for x
   x = 613,314,524,736/382,014
6. Step 6: Final answer
   x = 1,605,476.57