Finding the Third Proportional to 116,867 and 171,570

Step by Step Solution

1. Step 1: Write the proportion equation
   116,867 : 171,570 = 171,570 : x
2. Step 2: Convert to fraction form
   116,867/171,570 = 171,570/x
3. Step 3: Cross multiply
   116,867x = 171,570 × 171,570
4. Step 4: Simplify right side
   116,867x = 29,436,264,900
5. Step 5: Solve for x
   x = 29,436,264,900/116,867
6. Step 6: Final answer
   x = 251,878.33