Finding the Third Proportional to 120,771 and 172,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,771 : 172,489.50 = 172,489.50 : x
2. Step 2: Convert to fraction form
   120,771/172,489.50 = 172,489.50/x
3. Step 3: Cross multiply
   120,771x = 172,489.50 × 172,489.50
4. Step 4: Simplify right side
   120,771x = 29,752,627,610.25
5. Step 5: Solve for x
   x = 29,752,627,610.25/120,771
6. Step 6: Final answer
   x = 246,355.73