Finding the Third Proportional to 101,811 and 111,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,811 : 111,040.50 = 111,040.50 : x
2. Step 2: Convert to fraction form
   101,811/111,040.50 = 111,040.50/x
3. Step 3: Cross multiply
   101,811x = 111,040.50 × 111,040.50
4. Step 4: Simplify right side
   101,811x = 12,329,992,640.25
5. Step 5: Solve for x
   x = 12,329,992,640.25/101,811
6. Step 6: Final answer
   x = 121,106.68