Finding the Third Proportional to 823.50 and 985.50

Step by Step Solution

1. Step 1: Write the proportion equation
   823.50 : 985.50 = 985.50 : x
2. Step 2: Convert to fraction form
   823.50/985.50 = 985.50/x
3. Step 3: Cross multiply
   823.50x = 985.50 × 985.50
4. Step 4: Simplify right side
   823.50x = 971,210.25
5. Step 5: Solve for x
   x = 971,210.25/823.50
6. Step 6: Final answer
   x = 1,179.37