Finding the Third Proportional to 123,440 and 186,891

Step by Step Solution

1. Step 1: Write the proportion equation
   123,440 : 186,891 = 186,891 : x
2. Step 2: Convert to fraction form
   123,440/186,891 = 186,891/x
3. Step 3: Cross multiply
   123,440x = 186,891 × 186,891
4. Step 4: Simplify right side
   123,440x = 34,928,245,881
5. Step 5: Solve for x
   x = 34,928,245,881/123,440
6. Step 6: Final answer
   x = 282,957.27