Finding the Third Proportional to 120,771 and 164,002.22

Step by Step Solution

1. Step 1: Write the proportion equation
   120,771 : 164,002.22 = 164,002.22 : x
2. Step 2: Convert to fraction form
   120,771/164,002.22 = 164,002.22/x
3. Step 3: Cross multiply
   120,771x = 164,002.22 × 164,002.22
4. Step 4: Simplify right side
   120,771x = 26,896,727,754.92
5. Step 5: Solve for x
   x = 26,896,727,754.92/120,771
6. Step 6: Final answer
   x = 222,708.50