Finding the Third Proportional to 106,320 and 223,664

Step by Step Solution

1. Step 1: Write the proportion equation
   106,320 : 223,664 = 223,664 : x
2. Step 2: Convert to fraction form
   106,320/223,664 = 223,664/x
3. Step 3: Cross multiply
   106,320x = 223,664 × 223,664
4. Step 4: Simplify right side
   106,320x = 50,025,584,896
5. Step 5: Solve for x
   x = 50,025,584,896/106,320
6. Step 6: Final answer
   x = 470,519.05