Finding the Third Proportional to 78.13 and 164.38

Step by Step Solution

1. Step 1: Write the proportion equation
   78.13 : 164.38 = 164.38 : x
2. Step 2: Convert to fraction form
   78.13/164.38 = 164.38/x
3. Step 3: Cross multiply
   78.13x = 164.38 × 164.38
4. Step 4: Simplify right side
   78.13x = 27,019.14
5. Step 5: Solve for x
   x = 27,019.14/78.13
6. Step 6: Final answer
   x = 345.85