Finding the Third Proportional to 145.69 and 262.69

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 262.69 = 262.69 : x
2. Step 2: Convert to fraction form
   145.69/262.69 = 262.69/x
3. Step 3: Cross multiply
   145.69x = 262.69 × 262.69
4. Step 4: Simplify right side
   145.69x = 69,004.72
5. Step 5: Solve for x
   x = 69,004.72/145.69
6. Step 6: Final answer
   x = 473.65