Finding the Third Proportional to 842.91 and 967.78

Step by Step Solution

1. Step 1: Write the proportion equation
   842.91 : 967.78 = 967.78 : x
2. Step 2: Convert to fraction form
   842.91/967.78 = 967.78/x
3. Step 3: Cross multiply
   842.91x = 967.78 × 967.78
4. Step 4: Simplify right side
   842.91x = 936,600.55
5. Step 5: Solve for x
   x = 936,600.55/842.91
6. Step 6: Final answer
   x = 1,111.16