Finding the Third Proportional to 411.78 and 891.88

Step by Step Solution

1. Step 1: Write the proportion equation
   411.78 : 891.88 = 891.88 : x
2. Step 2: Convert to fraction form
   411.78/891.88 = 891.88/x
3. Step 3: Cross multiply
   411.78x = 891.88 × 891.88
4. Step 4: Simplify right side
   411.78x = 795,441.02
5. Step 5: Solve for x
   x = 795,441.02/411.78
6. Step 6: Final answer
   x = 1,931.71