Finding the Third Proportional to 164.53 and 245.53

Step by Step Solution

1. Step 1: Write the proportion equation
   164.53 : 245.53 = 245.53 : x
2. Step 2: Convert to fraction form
   164.53/245.53 = 245.53/x
3. Step 3: Cross multiply
   164.53x = 245.53 × 245.53
4. Step 4: Simplify right side
   164.53x = 60,285.59
5. Step 5: Solve for x
   x = 60,285.59/164.53
6. Step 6: Final answer
   x = 366.41