Finding the Third Proportional to 123,888 and 166,456

Step by Step Solution

1. Step 1: Write the proportion equation
   123,888 : 166,456 = 166,456 : x
2. Step 2: Convert to fraction form
   123,888/166,456 = 166,456/x
3. Step 3: Cross multiply
   123,888x = 166,456 × 166,456
4. Step 4: Simplify right side
   123,888x = 27,707,599,936
5. Step 5: Solve for x
   x = 27,707,599,936/123,888
6. Step 6: Final answer
   x = 223,650.39