Finding the Third Proportional to 110,906 and 166,172

Step by Step Solution

1. Step 1: Write the proportion equation
   110,906 : 166,172 = 166,172 : x
2. Step 2: Convert to fraction form
   110,906/166,172 = 166,172/x
3. Step 3: Cross multiply
   110,906x = 166,172 × 166,172
4. Step 4: Simplify right side
   110,906x = 27,613,133,584
5. Step 5: Solve for x
   x = 27,613,133,584/110,906
6. Step 6: Final answer
   x = 248,977.82