Finding the Third Proportional to 823.88 and 1,303.69

Step by Step Solution

1. Step 1: Write the proportion equation
   823.88 : 1,303.69 = 1,303.69 : x
2. Step 2: Convert to fraction form
   823.88/1,303.69 = 1,303.69/x
3. Step 3: Cross multiply
   823.88x = 1,303.69 × 1,303.69
4. Step 4: Simplify right side
   823.88x = 1,699,601.10
5. Step 5: Solve for x
   x = 1,699,601.10/823.88
6. Step 6: Final answer
   x = 2,062.94