Finding the Third Proportional to 829.50 and 904.50

Step by Step Solution

1. Step 1: Write the proportion equation
   829.50 : 904.50 = 904.50 : x
2. Step 2: Convert to fraction form
   829.50/904.50 = 904.50/x
3. Step 3: Cross multiply
   829.50x = 904.50 × 904.50
4. Step 4: Simplify right side
   829.50x = 818,120.25
5. Step 5: Solve for x
   x = 818,120.25/829.50
6. Step 6: Final answer
   x = 986.28