Finding the Third Proportional to 411.82 and 900.77

Step by Step Solution

1. Step 1: Write the proportion equation
   411.82 : 900.77 = 900.77 : x
2. Step 2: Convert to fraction form
   411.82/900.77 = 900.77/x
3. Step 3: Cross multiply
   411.82x = 900.77 × 900.77
4. Step 4: Simplify right side
   411.82x = 811,392.79
5. Step 5: Solve for x
   x = 811,392.79/411.82
6. Step 6: Final answer
   x = 1,970.26