Finding the Third Proportional to 116.72 and 282.94

Step by Step Solution

1. Step 1: Write the proportion equation
   116.72 : 282.94 = 282.94 : x
2. Step 2: Convert to fraction form
   116.72/282.94 = 282.94/x
3. Step 3: Cross multiply
   116.72x = 282.94 × 282.94
4. Step 4: Simplify right side
   116.72x = 80,053.63
5. Step 5: Solve for x
   x = 80,053.63/116.72
6. Step 6: Final answer
   x = 685.87