Finding the Third Proportional to 601.69 and 1,294.88

Step by Step Solution

1. Step 1: Write the proportion equation
   601.69 : 1,294.88 = 1,294.88 : x
2. Step 2: Convert to fraction form
   601.69/1,294.88 = 1,294.88/x
3. Step 3: Cross multiply
   601.69x = 1,294.88 × 1,294.88
4. Step 4: Simplify right side
   601.69x = 1,676,701.27
5. Step 5: Solve for x
   x = 1,676,701.27/601.69
6. Step 6: Final answer
   x = 2,786.66