Finding the Third Proportional to 78.75 and 106.31

Step by Step Solution

1. Step 1: Write the proportion equation
   78.75 : 106.31 = 106.31 : x
2. Step 2: Convert to fraction form
   78.75/106.31 = 106.31/x
3. Step 3: Cross multiply
   78.75x = 106.31 × 106.31
4. Step 4: Simplify right side
   78.75x = 11,302.35
5. Step 5: Solve for x
   x = 11,302.35/78.75
6. Step 6: Final answer
   x = 143.52