Finding the Third Proportional to 196.88 and 424.13

Step by Step Solution

1. Step 1: Write the proportion equation
   196.88 : 424.13 = 424.13 : x
2. Step 2: Convert to fraction form
   196.88/424.13 = 424.13/x
3. Step 3: Cross multiply
   196.88x = 424.13 × 424.13
4. Step 4: Simplify right side
   196.88x = 179,882.02
5. Step 5: Solve for x
   x = 179,882.02/196.88
6. Step 6: Final answer
   x = 913.69