Finding the Third Proportional to 196.50 and 420.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 420.38 = 420.38 : x
2. Step 2: Convert to fraction form
   196.50/420.38 = 420.38/x
3. Step 3: Cross multiply
   196.50x = 420.38 × 420.38
4. Step 4: Simplify right side
   196.50x = 176,715.14
5. Step 5: Solve for x
   x = 176,715.14/196.50
6. Step 6: Final answer
   x = 899.31