Finding the Third Proportional to 78.75 and 166.88

Step by Step Solution

1. Step 1: Write the proportion equation
   78.75 : 166.88 = 166.88 : x
2. Step 2: Convert to fraction form
   78.75/166.88 = 166.88/x
3. Step 3: Cross multiply
   78.75x = 166.88 × 166.88
4. Step 4: Simplify right side
   78.75x = 27,847.27
5. Step 5: Solve for x
   x = 27,847.27/78.75
6. Step 6: Final answer
   x = 353.62