Finding the Third Proportional to 241.69 and 526.69

Step by Step Solution

1. Step 1: Write the proportion equation
   241.69 : 526.69 = 526.69 : x
2. Step 2: Convert to fraction form
   241.69/526.69 = 526.69/x
3. Step 3: Cross multiply
   241.69x = 526.69 × 526.69
4. Step 4: Simplify right side
   241.69x = 277,399.72
5. Step 5: Solve for x
   x = 277,399.72/241.69
6. Step 6: Final answer
   x = 1,147.76