Finding the Third Proportional to 78.25 and 112.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78.25 : 112.75 = 112.75 : x
2. Step 2: Convert to fraction form
   78.25/112.75 = 112.75/x
3. Step 3: Cross multiply
   78.25x = 112.75 × 112.75
4. Step 4: Simplify right side
   78.25x = 12,712.56
5. Step 5: Solve for x
   x = 12,712.56/78.25
6. Step 6: Final answer
   x = 162.46