Finding the Third Proportional to 196.75 and 432.31

Step by Step Solution

1. Step 1: Write the proportion equation
   196.75 : 432.31 = 432.31 : x
2. Step 2: Convert to fraction form
   196.75/432.31 = 432.31/x
3. Step 3: Cross multiply
   196.75x = 432.31 × 432.31
4. Step 4: Simplify right side
   196.75x = 186,894.10
5. Step 5: Solve for x
   x = 186,894.10/196.75
6. Step 6: Final answer
   x = 949.91