Finding the Third Proportional to 105,233 and 223,610

Step by Step Solution

1. Step 1: Write the proportion equation
   105,233 : 223,610 = 223,610 : x
2. Step 2: Convert to fraction form
   105,233/223,610 = 223,610/x
3. Step 3: Cross multiply
   105,233x = 223,610 × 223,610
4. Step 4: Simplify right side
   105,233x = 50,001,432,100
5. Step 5: Solve for x
   x = 50,001,432,100/105,233
6. Step 6: Final answer
   x = 475,149.74