Finding the Third Proportional to 288.78 and 598.06

Step by Step Solution

1. Step 1: Write the proportion equation
   288.78 : 598.06 = 598.06 : x
2. Step 2: Convert to fraction form
   288.78/598.06 = 598.06/x
3. Step 3: Cross multiply
   288.78x = 598.06 × 598.06
4. Step 4: Simplify right side
   288.78x = 357,678.75
5. Step 5: Solve for x
   x = 357,678.75/288.78
6. Step 6: Final answer
   x = 1,238.58