Finding the Third Proportional to 164.81 and 243.56

Step by Step Solution

1. Step 1: Write the proportion equation
   164.81 : 243.56 = 243.56 : x
2. Step 2: Convert to fraction form
   164.81/243.56 = 243.56/x
3. Step 3: Cross multiply
   164.81x = 243.56 × 243.56
4. Step 4: Simplify right side
   164.81x = 59,322.69
5. Step 5: Solve for x
   x = 59,322.69/164.81
6. Step 6: Final answer
   x = 359.94