Finding the Third Proportional to 240 and 526.69

Step by Step Solution

1. Step 1: Write the proportion equation
   240 : 526.69 = 526.69 : x
2. Step 2: Convert to fraction form
   240/526.69 = 526.69/x
3. Step 3: Cross multiply
   240x = 526.69 × 526.69
4. Step 4: Simplify right side
   240x = 277,399.72
5. Step 5: Solve for x
   x = 277,399.72/240
6. Step 6: Final answer
   x = 1,155.83