Finding the Third Proportional to 256.76 and 561.46

Step by Step Solution

1. Step 1: Write the proportion equation
   256.76 : 561.46 = 561.46 : x
2. Step 2: Convert to fraction form
   256.76/561.46 = 561.46/x
3. Step 3: Cross multiply
   256.76x = 561.46 × 561.46
4. Step 4: Simplify right side
   256.76x = 315,240.58
5. Step 5: Solve for x
   x = 315,240.58/256.76
6. Step 6: Final answer
   x = 1,227.75