Finding the Third Proportional to 164.56 and 247.27

Step by Step Solution

1. Step 1: Write the proportion equation
   164.56 : 247.27 = 247.27 : x
2. Step 2: Convert to fraction form
   164.56/247.27 = 247.27/x
3. Step 3: Cross multiply
   164.56x = 247.27 × 247.27
4. Step 4: Simplify right side
   164.56x = 61,140.29
5. Step 5: Solve for x
   x = 61,140.29/164.56
6. Step 6: Final answer
   x = 371.53