Finding the Third Proportional to 282,348 and 414,105.75

Step by Step Solution

1. Step 1: Write the proportion equation
   282,348 : 414,105.75 = 414,105.75 : x
2. Step 2: Convert to fraction form
   282,348/414,105.75 = 414,105.75/x
3. Step 3: Cross multiply
   282,348x = 414,105.75 × 414,105.75
4. Step 4: Simplify right side
   282,348x = 171,483,572,183.06
5. Step 5: Solve for x
   x = 171,483,572,183.06/282,348
6. Step 6: Final answer
   x = 607,348.28