Finding the Third Proportional to 196.69 and 432.09

Step by Step Solution

1. Step 1: Write the proportion equation
   196.69 : 432.09 = 432.09 : x
2. Step 2: Convert to fraction form
   196.69/432.09 = 432.09/x
3. Step 3: Cross multiply
   196.69x = 432.09 × 432.09
4. Step 4: Simplify right side
   196.69x = 186,705.01
5. Step 5: Solve for x
   x = 186,705.01/196.69
6. Step 6: Final answer
   x = 949.25