Finding the Third Proportional to 120,771 and 174,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,771 : 174,190.50 = 174,190.50 : x
2. Step 2: Convert to fraction form
   120,771/174,190.50 = 174,190.50/x
3. Step 3: Cross multiply
   120,771x = 174,190.50 × 174,190.50
4. Step 4: Simplify right side
   120,771x = 30,342,330,290.25
5. Step 5: Solve for x
   x = 30,342,330,290.25/120,771
6. Step 6: Final answer
   x = 251,238.54