Finding the Third Proportional to 123,444 and 186,894

Step by Step Solution

1. Step 1: Write the proportion equation
   123,444 : 186,894 = 186,894 : x
2. Step 2: Convert to fraction form
   123,444/186,894 = 186,894/x
3. Step 3: Cross multiply
   123,444x = 186,894 × 186,894
4. Step 4: Simplify right side
   123,444x = 34,929,367,236
5. Step 5: Solve for x
   x = 34,929,367,236/123,444
6. Step 6: Final answer
   x = 282,957.19