Finding the Third Proportional to 196.31 and 418.69

Step by Step Solution

1. Step 1: Write the proportion equation
   196.31 : 418.69 = 418.69 : x
2. Step 2: Convert to fraction form
   196.31/418.69 = 418.69/x
3. Step 3: Cross multiply
   196.31x = 418.69 × 418.69
4. Step 4: Simplify right side
   196.31x = 175,299.22
5. Step 5: Solve for x
   x = 175,299.22/196.31
6. Step 6: Final answer
   x = 892.96