Finding the Third Proportional to 198,828 and 435,456

Step by Step Solution

1. Step 1: Write the proportion equation
   198,828 : 435,456 = 435,456 : x
2. Step 2: Convert to fraction form
   198,828/435,456 = 435,456/x
3. Step 3: Cross multiply
   198,828x = 435,456 × 435,456
4. Step 4: Simplify right side
   198,828x = 189,621,927,936
5. Step 5: Solve for x
   x = 189,621,927,936/198,828
6. Step 6: Final answer
   x = 953,698.31