Finding the Third Proportional to 78,914 and 117,171

Step by Step Solution

1. Step 1: Write the proportion equation
   78,914 : 117,171 = 117,171 : x
2. Step 2: Convert to fraction form
   78,914/117,171 = 117,171/x
3. Step 3: Cross multiply
   78,914x = 117,171 × 117,171
4. Step 4: Simplify right side
   78,914x = 13,729,043,241
5. Step 5: Solve for x
   x = 13,729,043,241/78,914
6. Step 6: Final answer
   x = 173,974.75