Finding the Third Proportional to 171,144 and 375,456

Step by Step Solution

1. Step 1: Write the proportion equation
   171,144 : 375,456 = 375,456 : x
2. Step 2: Convert to fraction form
   171,144/375,456 = 375,456/x
3. Step 3: Cross multiply
   171,144x = 375,456 × 375,456
4. Step 4: Simplify right side
   171,144x = 140,967,207,936
5. Step 5: Solve for x
   x = 140,967,207,936/171,144
6. Step 6: Final answer
   x = 823,676.02