Finding the Third Proportional to 814.31 and 890.06

Step by Step Solution

1. Step 1: Write the proportion equation
   814.31 : 890.06 = 890.06 : x
2. Step 2: Convert to fraction form
   814.31/890.06 = 890.06/x
3. Step 3: Cross multiply
   814.31x = 890.06 × 890.06
4. Step 4: Simplify right side
   814.31x = 792,211.25
5. Step 5: Solve for x
   x = 792,211.25/814.31
6. Step 6: Final answer
   x = 972.86