Finding the Third Proportional to 196.88 and 428.06

Step by Step Solution

1. Step 1: Write the proportion equation
   196.88 : 428.06 = 428.06 : x
2. Step 2: Convert to fraction form
   196.88/428.06 = 428.06/x
3. Step 3: Cross multiply
   196.88x = 428.06 × 428.06
4. Step 4: Simplify right side
   196.88x = 183,237.50
5. Step 5: Solve for x
   x = 183,237.50/196.88
6. Step 6: Final answer
   x = 930.73