Finding the Third Proportional to 281,034 and 414,105.75

Step by Step Solution

1. Step 1: Write the proportion equation
   281,034 : 414,105.75 = 414,105.75 : x
2. Step 2: Convert to fraction form
   281,034/414,105.75 = 414,105.75/x
3. Step 3: Cross multiply
   281,034x = 414,105.75 × 414,105.75
4. Step 4: Simplify right side
   281,034x = 171,483,572,183.06
5. Step 5: Solve for x
   x = 171,483,572,183.06/281,034
6. Step 6: Final answer
   x = 610,187.99