Finding the Third Proportional to 814.78 and 898.03

Step by Step Solution

1. Step 1: Write the proportion equation
   814.78 : 898.03 = 898.03 : x
2. Step 2: Convert to fraction form
   814.78/898.03 = 898.03/x
3. Step 3: Cross multiply
   814.78x = 898.03 × 898.03
4. Step 4: Simplify right side
   814.78x = 806,460.13
5. Step 5: Solve for x
   x = 806,460.13/814.78
6. Step 6: Final answer
   x = 989.79