Finding the Third Proportional to 824.50 and 902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   824.50 : 902.50 = 902.50 : x
2. Step 2: Convert to fraction form
   824.50/902.50 = 902.50/x
3. Step 3: Cross multiply
   824.50x = 902.50 × 902.50
4. Step 4: Simplify right side
   824.50x = 814,506.25
5. Step 5: Solve for x
   x = 814,506.25/824.50
6. Step 6: Final answer
   x = 987.88