Finding the Third Proportional to 123,456 and 270,144

Step by Step Solution

1. Step 1: Write the proportion equation
   123,456 : 270,144 = 270,144 : x
2. Step 2: Convert to fraction form
   123,456/270,144 = 270,144/x
3. Step 3: Cross multiply
   123,456x = 270,144 × 270,144
4. Step 4: Simplify right side
   123,456x = 72,977,780,736
5. Step 5: Solve for x
   x = 72,977,780,736/123,456
6. Step 6: Final answer
   x = 591,123.81