Finding the Third Proportional to 196.88 and 420.56

Step by Step Solution

1. Step 1: Write the proportion equation
   196.88 : 420.56 = 420.56 : x
2. Step 2: Convert to fraction form
   196.88/420.56 = 420.56/x
3. Step 3: Cross multiply
   196.88x = 420.56 × 420.56
4. Step 4: Simplify right side
   196.88x = 176,872.82
5. Step 5: Solve for x
   x = 176,872.82/196.88
6. Step 6: Final answer
   x = 898.40