Finding the Third Proportional to 256.69 and 526.31

Step by Step Solution

1. Step 1: Write the proportion equation
   256.69 : 526.31 = 526.31 : x
2. Step 2: Convert to fraction form
   256.69/526.31 = 526.31/x
3. Step 3: Cross multiply
   256.69x = 526.31 × 526.31
4. Step 4: Simplify right side
   256.69x = 277,004.85
5. Step 5: Solve for x
   x = 277,004.85/256.69
6. Step 6: Final answer
   x = 1,079.15