Finding the Third Proportional to 256.61 and 487.27

Step by Step Solution

1. Step 1: Write the proportion equation
   256.61 : 487.27 = 487.27 : x
2. Step 2: Convert to fraction form
   256.61/487.27 = 487.27/x
3. Step 3: Cross multiply
   256.61x = 487.27 × 487.27
4. Step 4: Simplify right side
   256.61x = 237,427.79
5. Step 5: Solve for x
   x = 237,427.79/256.61
6. Step 6: Final answer
   x = 925.26