Finding the Third Proportional to 164.53 and 263.25

Step by Step Solution

1. Step 1: Write the proportion equation
   164.53 : 263.25 = 263.25 : x
2. Step 2: Convert to fraction form
   164.53/263.25 = 263.25/x
3. Step 3: Cross multiply
   164.53x = 263.25 × 263.25
4. Step 4: Simplify right side
   164.53x = 69,300.56
5. Step 5: Solve for x
   x = 69,300.56/164.53
6. Step 6: Final answer
   x = 421.20