Finding the Third Proportional to 196,744 and 297,456

Step by Step Solution

1. Step 1: Write the proportion equation
   196,744 : 297,456 = 297,456 : x
2. Step 2: Convert to fraction form
   196,744/297,456 = 297,456/x
3. Step 3: Cross multiply
   196,744x = 297,456 × 297,456
4. Step 4: Simplify right side
   196,744x = 88,480,071,936
5. Step 5: Solve for x
   x = 88,480,071,936/196,744
6. Step 6: Final answer
   x = 449,721.83