Finding the Third Proportional to 598.78 and 799.17

Step by Step Solution

1. Step 1: Write the proportion equation
   598.78 : 799.17 = 799.17 : x
2. Step 2: Convert to fraction form
   598.78/799.17 = 799.17/x
3. Step 3: Cross multiply
   598.78x = 799.17 × 799.17
4. Step 4: Simplify right side
   598.78x = 638,675.69
5. Step 5: Solve for x
   x = 638,675.69/598.78
6. Step 6: Final answer
   x = 1,066.63