Finding the Third Proportional to 78.50 and 166.56

Step by Step Solution

1. Step 1: Write the proportion equation
   78.50 : 166.56 = 166.56 : x
2. Step 2: Convert to fraction form
   78.50/166.56 = 166.56/x
3. Step 3: Cross multiply
   78.50x = 166.56 × 166.56
4. Step 4: Simplify right side
   78.50x = 27,743.07
5. Step 5: Solve for x
   x = 27,743.07/78.50
6. Step 6: Final answer
   x = 353.41