Finding the Third Proportional to 256.08 and 601.52

Step by Step Solution

1. Step 1: Write the proportion equation
   256.08 : 601.52 = 601.52 : x
2. Step 2: Convert to fraction form
   256.08/601.52 = 601.52/x
3. Step 3: Cross multiply
   256.08x = 601.52 × 601.52
4. Step 4: Simplify right side
   256.08x = 361,830.45
5. Step 5: Solve for x
   x = 361,830.45/256.08
6. Step 6: Final answer
   x = 1,412.97