Finding the Third Proportional to 164.06 and 245.56

Step by Step Solution

1. Step 1: Write the proportion equation
   164.06 : 245.56 = 245.56 : x
2. Step 2: Convert to fraction form
   164.06/245.56 = 245.56/x
3. Step 3: Cross multiply
   164.06x = 245.56 × 245.56
4. Step 4: Simplify right side
   164.06x = 60,300.94
5. Step 5: Solve for x
   x = 60,300.94/164.06
6. Step 6: Final answer
   x = 367.55