Finding the Third Proportional to 116.50 and 314.75

Step by Step Solution

1. Step 1: Write the proportion equation
   116.50 : 314.75 = 314.75 : x
2. Step 2: Convert to fraction form
   116.50/314.75 = 314.75/x
3. Step 3: Cross multiply
   116.50x = 314.75 × 314.75
4. Step 4: Simplify right side
   116.50x = 99,067.56
5. Step 5: Solve for x
   x = 99,067.56/116.50
6. Step 6: Final answer
   x = 850.37