Finding the Third Proportional to 256,108 and 375,856

Step by Step Solution

1. Step 1: Write the proportion equation
   256,108 : 375,856 = 375,856 : x
2. Step 2: Convert to fraction form
   256,108/375,856 = 375,856/x
3. Step 3: Cross multiply
   256,108x = 375,856 × 375,856
4. Step 4: Simplify right side
   256,108x = 141,267,732,736
5. Step 5: Solve for x
   x = 141,267,732,736/256,108
6. Step 6: Final answer
   x = 551,594.38