Finding the Third Proportional to 196.38 and 431.94

Step by Step Solution

1. Step 1: Write the proportion equation
   196.38 : 431.94 = 431.94 : x
2. Step 2: Convert to fraction form
   196.38/431.94 = 431.94/x
3. Step 3: Cross multiply
   196.38x = 431.94 × 431.94
4. Step 4: Simplify right side
   196.38x = 186,570.00
5. Step 5: Solve for x
   x = 186,570.00/196.38
6. Step 6: Final answer
   x = 950.07