Finding the Third Proportional to 196.59 and 423.56

Step by Step Solution

1. Step 1: Write the proportion equation
   196.59 : 423.56 = 423.56 : x
2. Step 2: Convert to fraction form
   196.59/423.56 = 423.56/x
3. Step 3: Cross multiply
   196.59x = 423.56 × 423.56
4. Step 4: Simplify right side
   196.59x = 179,405.19
5. Step 5: Solve for x
   x = 179,405.19/196.59
6. Step 6: Final answer
   x = 912.57