Finding the Third Proportional to 194.91 and 286.83

Step by Step Solution

1. Step 1: Write the proportion equation
   194.91 : 286.83 = 286.83 : x
2. Step 2: Convert to fraction form
   194.91/286.83 = 286.83/x
3. Step 3: Cross multiply
   194.91x = 286.83 × 286.83
4. Step 4: Simplify right side
   194.91x = 82,270.37
5. Step 5: Solve for x
   x = 82,270.37/194.91
6. Step 6: Final answer
   x = 422.10