Finding the Third Proportional to 123,768 and 166,293

Step by Step Solution

1. Step 1: Write the proportion equation
   123,768 : 166,293 = 166,293 : x
2. Step 2: Convert to fraction form
   123,768/166,293 = 166,293/x
3. Step 3: Cross multiply
   123,768x = 166,293 × 166,293
4. Step 4: Simplify right side
   123,768x = 27,653,361,849
5. Step 5: Solve for x
   x = 27,653,361,849/123,768
6. Step 6: Final answer
   x = 223,429.01