Finding the Third Proportional to 196,973.44 and 384,105.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196,973.44 : 384,105.38 = 384,105.38 : x
2. Step 2: Convert to fraction form
   196,973.44/384,105.38 = 384,105.38/x
3. Step 3: Cross multiply
   196,973.44x = 384,105.38 × 384,105.38
4. Step 4: Simplify right side
   196,973.44x = 147,536,939,103.89
5. Step 5: Solve for x
   x = 147,536,939,103.89/196,973.44
6. Step 6: Final answer
   x = 749,019.47