Finding the Third Proportional to 278.02 and 601.59

Step by Step Solution

1. Step 1: Write the proportion equation
   278.02 : 601.59 = 601.59 : x
2. Step 2: Convert to fraction form
   278.02/601.59 = 601.59/x
3. Step 3: Cross multiply
   278.02x = 601.59 × 601.59
4. Step 4: Simplify right side
   278.02x = 361,915.04
5. Step 5: Solve for x
   x = 361,915.04/278.02
6. Step 6: Final answer
   x = 1,301.78