Finding the Third Proportional to 78.66 and 164.48

Step by Step Solution

1. Step 1: Write the proportion equation
   78.66 : 164.48 = 164.48 : x
2. Step 2: Convert to fraction form
   78.66/164.48 = 164.48/x
3. Step 3: Cross multiply
   78.66x = 164.48 × 164.48
4. Step 4: Simplify right side
   78.66x = 27,055.11
5. Step 5: Solve for x
   x = 27,055.11/78.66
6. Step 6: Final answer
   x = 343.97