Finding the Third Proportional to 78.75 and 113.06

Step by Step Solution

1. Step 1: Write the proportion equation
   78.75 : 113.06 = 113.06 : x
2. Step 2: Convert to fraction form
   78.75/113.06 = 113.06/x
3. Step 3: Cross multiply
   78.75x = 113.06 × 113.06
4. Step 4: Simplify right side
   78.75x = 12,783.13
5. Step 5: Solve for x
   x = 12,783.13/78.75
6. Step 6: Final answer
   x = 162.33