Finding the Third Proportional to 123,574 and 186,728

Step by Step Solution

1. Step 1: Write the proportion equation
   123,574 : 186,728 = 186,728 : x
2. Step 2: Convert to fraction form
   123,574/186,728 = 186,728/x
3. Step 3: Cross multiply
   123,574x = 186,728 × 186,728
4. Step 4: Simplify right side
   123,574x = 34,867,345,984
5. Step 5: Solve for x
   x = 34,867,345,984/123,574
6. Step 6: Final answer
   x = 282,157.62