Finding the Third Proportional to 116.50 and 283.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116.50 : 283.50 = 283.50 : x
2. Step 2: Convert to fraction form
   116.50/283.50 = 283.50/x
3. Step 3: Cross multiply
   116.50x = 283.50 × 283.50
4. Step 4: Simplify right side
   116.50x = 80,372.25
5. Step 5: Solve for x
   x = 80,372.25/116.50
6. Step 6: Final answer
   x = 689.89