Finding the Third Proportional to 114.05 and 263.53

Step by Step Solution

1. Step 1: Write the proportion equation
   114.05 : 263.53 = 263.53 : x
2. Step 2: Convert to fraction form
   114.05/263.53 = 263.53/x
3. Step 3: Cross multiply
   114.05x = 263.53 × 263.53
4. Step 4: Simplify right side
   114.05x = 69,448.72
5. Step 5: Solve for x
   x = 69,448.72/114.05
6. Step 6: Final answer
   x = 608.95