Finding the Third Proportional to 601.59 and 880.88

Step by Step Solution

1. Step 1: Write the proportion equation
   601.59 : 880.88 = 880.88 : x
2. Step 2: Convert to fraction form
   601.59/880.88 = 880.88/x
3. Step 3: Cross multiply
   601.59x = 880.88 × 880.88
4. Step 4: Simplify right side
   601.59x = 775,940.77
5. Step 5: Solve for x
   x = 775,940.77/601.59
6. Step 6: Final answer
   x = 1,289.81