Finding the Third Proportional to 108,723 and 166,326

Step by Step Solution

1. Step 1: Write the proportion equation
   108,723 : 166,326 = 166,326 : x
2. Step 2: Convert to fraction form
   108,723/166,326 = 166,326/x
3. Step 3: Cross multiply
   108,723x = 166,326 × 166,326
4. Step 4: Simplify right side
   108,723x = 27,664,338,276
5. Step 5: Solve for x
   x = 27,664,338,276/108,723
6. Step 6: Final answer
   x = 254,447.89