Finding the Third Proportional to 116.75 and 280.88

Step by Step Solution

1. Step 1: Write the proportion equation
   116.75 : 280.88 = 280.88 : x
2. Step 2: Convert to fraction form
   116.75/280.88 = 280.88/x
3. Step 3: Cross multiply
   116.75x = 280.88 × 280.88
4. Step 4: Simplify right side
   116.75x = 78,890.77
5. Step 5: Solve for x
   x = 78,890.77/116.75
6. Step 6: Final answer
   x = 675.72