Finding the Third Proportional to 194.70 and 411.33

Step by Step Solution

1. Step 1: Write the proportion equation
   194.70 : 411.33 = 411.33 : x
2. Step 2: Convert to fraction form
   194.70/411.33 = 411.33/x
3. Step 3: Cross multiply
   194.70x = 411.33 × 411.33
4. Step 4: Simplify right side
   194.70x = 169,190.83
5. Step 5: Solve for x
   x = 169,190.83/194.70
6. Step 6: Final answer
   x = 869.00