Finding the Third Proportional to 116.25 and 246.75

Step by Step Solution

1. Step 1: Write the proportion equation
   116.25 : 246.75 = 246.75 : x
2. Step 2: Convert to fraction form
   116.25/246.75 = 246.75/x
3. Step 3: Cross multiply
   116.25x = 246.75 × 246.75
4. Step 4: Simplify right side
   116.25x = 60,885.56
5. Step 5: Solve for x
   x = 60,885.56/116.25
6. Step 6: Final answer
   x = 523.75