Finding the Third Proportional to 256,568 and 382,116

Step by Step Solution

1. Step 1: Write the proportion equation
   256,568 : 382,116 = 382,116 : x
2. Step 2: Convert to fraction form
   256,568/382,116 = 382,116/x
3. Step 3: Cross multiply
   256,568x = 382,116 × 382,116
4. Step 4: Simplify right side
   256,568x = 146,012,637,456
5. Step 5: Solve for x
   x = 146,012,637,456/256,568
6. Step 6: Final answer
   x = 569,099.18