Finding the Third Proportional to 196.70 and 431.37

Step by Step Solution

1. Step 1: Write the proportion equation
   196.70 : 431.37 = 431.37 : x
2. Step 2: Convert to fraction form
   196.70/431.37 = 431.37/x
3. Step 3: Cross multiply
   196.70x = 431.37 × 431.37
4. Step 4: Simplify right side
   196.70x = 186,077.65
5. Step 5: Solve for x
   x = 186,077.65/196.70
6. Step 6: Final answer
   x = 946.00