Finding the Third Proportional to 163,648 and 359,456

Step by Step Solution

1. Step 1: Write the proportion equation
   163,648 : 359,456 = 359,456 : x
2. Step 2: Convert to fraction form
   163,648/359,456 = 359,456/x
3. Step 3: Cross multiply
   163,648x = 359,456 × 359,456
4. Step 4: Simplify right side
   163,648x = 129,208,615,936
5. Step 5: Solve for x
   x = 129,208,615,936/163,648
6. Step 6: Final answer
   x = 789,552.06