Finding the Third Proportional to 111,292 and 166,906

Step by Step Solution

1. Step 1: Write the proportion equation
   111,292 : 166,906 = 166,906 : x
2. Step 2: Convert to fraction form
   111,292/166,906 = 166,906/x
3. Step 3: Cross multiply
   111,292x = 166,906 × 166,906
4. Step 4: Simplify right side
   111,292x = 27,857,612,836
5. Step 5: Solve for x
   x = 27,857,612,836/111,292
6. Step 6: Final answer
   x = 250,311.01