Finding the Third Proportional to 280.49 and 434.27

Step by Step Solution

1. Step 1: Write the proportion equation
   280.49 : 434.27 = 434.27 : x
2. Step 2: Convert to fraction form
   280.49/434.27 = 434.27/x
3. Step 3: Cross multiply
   280.49x = 434.27 × 434.27
4. Step 4: Simplify right side
   280.49x = 188,588.33
5. Step 5: Solve for x
   x = 188,588.33/280.49
6. Step 6: Final answer
   x = 672.34