Finding the Third Proportional to 402.25 and 885.25

Step by Step Solution

1. Step 1: Write the proportion equation
   402.25 : 885.25 = 885.25 : x
2. Step 2: Convert to fraction form
   402.25/885.25 = 885.25/x
3. Step 3: Cross multiply
   402.25x = 885.25 × 885.25
4. Step 4: Simplify right side
   402.25x = 783,667.56
5. Step 5: Solve for x
   x = 783,667.56/402.25
6. Step 6: Final answer
   x = 1,948.21