Finding the Third Proportional to 77.25 and 113.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77.25 : 113.25 = 113.25 : x
2. Step 2: Convert to fraction form
   77.25/113.25 = 113.25/x
3. Step 3: Cross multiply
   77.25x = 113.25 × 113.25
4. Step 4: Simplify right side
   77.25x = 12,825.56
5. Step 5: Solve for x
   x = 12,825.56/77.25
6. Step 6: Final answer
   x = 166.03