Finding the Third Proportional to 50,771 and 117,014

Step by Step Solution

1. Step 1: Write the proportion equation
   50,771 : 117,014 = 117,014 : x
2. Step 2: Convert to fraction form
   50,771/117,014 = 117,014/x
3. Step 3: Cross multiply
   50,771x = 117,014 × 117,014
4. Step 4: Simplify right side
   50,771x = 13,692,276,196
5. Step 5: Solve for x
   x = 13,692,276,196/50,771
6. Step 6: Final answer
   x = 269,686.95