Finding the Third Proportional to 78,016 and 173,554

Step by Step Solution

1. Step 1: Write the proportion equation
   78,016 : 173,554 = 173,554 : x
2. Step 2: Convert to fraction form
   78,016/173,554 = 173,554/x
3. Step 3: Cross multiply
   78,016x = 173,554 × 173,554
4. Step 4: Simplify right side
   78,016x = 30,120,990,916
5. Step 5: Solve for x
   x = 30,120,990,916/78,016
6. Step 6: Final answer
   x = 386,087.35