Finding the Third Proportional to 52,771 and 111,009

Step by Step Solution

1. Step 1: Write the proportion equation
   52,771 : 111,009 = 111,009 : x
2. Step 2: Convert to fraction form
   52,771/111,009 = 111,009/x
3. Step 3: Cross multiply
   52,771x = 111,009 × 111,009
4. Step 4: Simplify right side
   52,771x = 12,322,998,081
5. Step 5: Solve for x
   x = 12,322,998,081/52,771
6. Step 6: Final answer
   x = 233,518.37