Finding the Third Proportional to 78.69 and 166.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78.69 : 166.75 = 166.75 : x
2. Step 2: Convert to fraction form
   78.69/166.75 = 166.75/x
3. Step 3: Cross multiply
   78.69x = 166.75 × 166.75
4. Step 4: Simplify right side
   78.69x = 27,805.56
5. Step 5: Solve for x
   x = 27,805.56/78.69
6. Step 6: Final answer
   x = 353.37