Finding the Third Proportional to 123,228 and 185,718

Step by Step Solution

1. Step 1: Write the proportion equation
   123,228 : 185,718 = 185,718 : x
2. Step 2: Convert to fraction form
   123,228/185,718 = 185,718/x
3. Step 3: Cross multiply
   123,228x = 185,718 × 185,718
4. Step 4: Simplify right side
   123,228x = 34,491,175,524
5. Step 5: Solve for x
   x = 34,491,175,524/123,228
6. Step 6: Final answer
   x = 279,897.23