Finding the Third Proportional to 280.83 and 412.78

Step by Step Solution

1. Step 1: Write the proportion equation
   280.83 : 412.78 = 412.78 : x
2. Step 2: Convert to fraction form
   280.83/412.78 = 412.78/x
3. Step 3: Cross multiply
   280.83x = 412.78 × 412.78
4. Step 4: Simplify right side
   280.83x = 170,388.36
5. Step 5: Solve for x
   x = 170,388.36/280.83
6. Step 6: Final answer
   x = 606.74