Finding the Third Proportional to 105,343 and 223,078

Step by Step Solution

1. Step 1: Write the proportion equation
   105,343 : 223,078 = 223,078 : x
2. Step 2: Convert to fraction form
   105,343/223,078 = 223,078/x
3. Step 3: Cross multiply
   105,343x = 223,078 × 223,078
4. Step 4: Simplify right side
   105,343x = 49,763,794,084
5. Step 5: Solve for x
   x = 49,763,794,084/105,343
6. Step 6: Final answer
   x = 472,397.73