Finding the Third Proportional to 196.88 and 383.91

Step by Step Solution

1. Step 1: Write the proportion equation
   196.88 : 383.91 = 383.91 : x
2. Step 2: Convert to fraction form
   196.88/383.91 = 383.91/x
3. Step 3: Cross multiply
   196.88x = 383.91 × 383.91
4. Step 4: Simplify right side
   196.88x = 147,384.01
5. Step 5: Solve for x
   x = 147,384.01/196.88
6. Step 6: Final answer
   x = 748.62