Finding the Third Proportional to 78,867 and 173,504

Step by Step Solution

1. Step 1: Write the proportion equation
   78,867 : 173,504 = 173,504 : x
2. Step 2: Convert to fraction form
   78,867/173,504 = 173,504/x
3. Step 3: Cross multiply
   78,867x = 173,504 × 173,504
4. Step 4: Simplify right side
   78,867x = 30,103,638,016
5. Step 5: Solve for x
   x = 30,103,638,016/78,867
6. Step 6: Final answer
   x = 381,701.32