Finding the Third Proportional to 111,120 and 166,692

Step by Step Solution

1. Step 1: Write the proportion equation
   111,120 : 166,692 = 166,692 : x
2. Step 2: Convert to fraction form
   111,120/166,692 = 166,692/x
3. Step 3: Cross multiply
   111,120x = 166,692 × 166,692
4. Step 4: Simplify right side
   111,120x = 27,786,222,864
5. Step 5: Solve for x
   x = 27,786,222,864/111,120
6. Step 6: Final answer
   x = 250,056.00