Finding the Third Proportional to 283.82 and 678.22

Step by Step Solution

1. Step 1: Write the proportion equation
   283.82 : 678.22 = 678.22 : x
2. Step 2: Convert to fraction form
   283.82/678.22 = 678.22/x
3. Step 3: Cross multiply
   283.82x = 678.22 × 678.22
4. Step 4: Simplify right side
   283.82x = 459,978.02
5. Step 5: Solve for x
   x = 459,978.02/283.82
6. Step 6: Final answer
   x = 1,620.69