Finding the Third Proportional to 598.69 and 898.69

Step by Step Solution

1. Step 1: Write the proportion equation
   598.69 : 898.69 = 898.69 : x
2. Step 2: Convert to fraction form
   598.69/898.69 = 898.69/x
3. Step 3: Cross multiply
   598.69x = 898.69 × 898.69
4. Step 4: Simplify right side
   598.69x = 807,639.22
5. Step 5: Solve for x
   x = 807,639.22/598.69
6. Step 6: Final answer
   x = 1,349.02