Finding the Third Proportional to 230.69 and 280.47

Step by Step Solution

1. Step 1: Write the proportion equation
   230.69 : 280.47 = 280.47 : x
2. Step 2: Convert to fraction form
   230.69/280.47 = 280.47/x
3. Step 3: Cross multiply
   230.69x = 280.47 × 280.47
4. Step 4: Simplify right side
   230.69x = 78,662.72
5. Step 5: Solve for x
   x = 78,662.72/230.69
6. Step 6: Final answer
   x = 340.99