Finding the Third Proportional to 103,830 and 223,456

Step by Step Solution

1. Step 1: Write the proportion equation
   103,830 : 223,456 = 223,456 : x
2. Step 2: Convert to fraction form
   103,830/223,456 = 223,456/x
3. Step 3: Cross multiply
   103,830x = 223,456 × 223,456
4. Step 4: Simplify right side
   103,830x = 49,932,583,936
5. Step 5: Solve for x
   x = 49,932,583,936/103,830
6. Step 6: Final answer
   x = 480,907.10