Finding the Third Proportional to 106,320 and 223,656

Step by Step Solution

1. Step 1: Write the proportion equation
   106,320 : 223,656 = 223,656 : x
2. Step 2: Convert to fraction form
   106,320/223,656 = 223,656/x
3. Step 3: Cross multiply
   106,320x = 223,656 × 223,656
4. Step 4: Simplify right side
   106,320x = 50,022,006,336
5. Step 5: Solve for x
   x = 50,022,006,336/106,320
6. Step 6: Final answer
   x = 470,485.39