Finding the Third Proportional to 83.25 and 114.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83.25 : 114.75 = 114.75 : x
2. Step 2: Convert to fraction form
   83.25/114.75 = 114.75/x
3. Step 3: Cross multiply
   83.25x = 114.75 × 114.75
4. Step 4: Simplify right side
   83.25x = 13,167.56
5. Step 5: Solve for x
   x = 13,167.56/83.25
6. Step 6: Final answer
   x = 158.17