Finding the Third Proportional to 105,365 and 223,120

Step by Step Solution

1. Step 1: Write the proportion equation
   105,365 : 223,120 = 223,120 : x
2. Step 2: Convert to fraction form
   105,365/223,120 = 223,120/x
3. Step 3: Cross multiply
   105,365x = 223,120 × 223,120
4. Step 4: Simplify right side
   105,365x = 49,782,534,400
5. Step 5: Solve for x
   x = 49,782,534,400/105,365
6. Step 6: Final answer
   x = 472,476.96