Finding the Third Proportional to 123,456 and 186,918

Step by Step Solution

1. Step 1: Write the proportion equation
   123,456 : 186,918 = 186,918 : x
2. Step 2: Convert to fraction form
   123,456/186,918 = 186,918/x
3. Step 3: Cross multiply
   123,456x = 186,918 × 186,918
4. Step 4: Simplify right side
   123,456x = 34,938,338,724
5. Step 5: Solve for x
   x = 34,938,338,724/123,456
6. Step 6: Final answer
   x = 283,002.35