Finding the Third Proportional to 465.33 and 678.69

Step by Step Solution

1. Step 1: Write the proportion equation
   465.33 : 678.69 = 678.69 : x
2. Step 2: Convert to fraction form
   465.33/678.69 = 678.69/x
3. Step 3: Cross multiply
   465.33x = 678.69 × 678.69
4. Step 4: Simplify right side
   465.33x = 460,622.02
5. Step 5: Solve for x
   x = 460,622.02/465.33
6. Step 6: Final answer
   x = 989.89