Finding the Third Proportional to 598.50 and 898.31

Step by Step Solution

1. Step 1: Write the proportion equation
   598.50 : 898.31 = 898.31 : x
2. Step 2: Convert to fraction form
   598.50/898.31 = 898.31/x
3. Step 3: Cross multiply
   598.50x = 898.31 × 898.31
4. Step 4: Simplify right side
   598.50x = 806,965.35
5. Step 5: Solve for x
   x = 806,965.35/598.50
6. Step 6: Final answer
   x = 1,348.31