Finding the Third Proportional to 824.06 and 898.31

Step by Step Solution

1. Step 1: Write the proportion equation
   824.06 : 898.31 = 898.31 : x
2. Step 2: Convert to fraction form
   824.06/898.31 = 898.31/x
3. Step 3: Cross multiply
   824.06x = 898.31 × 898.31
4. Step 4: Simplify right side
   824.06x = 806,965.35
5. Step 5: Solve for x
   x = 806,965.35/824.06
6. Step 6: Final answer
   x = 979.25