Finding the Third Proportional to 105,234 and 223,614

Step by Step Solution

1. Step 1: Write the proportion equation
   105,234 : 223,614 = 223,614 : x
2. Step 2: Convert to fraction form
   105,234/223,614 = 223,614/x
3. Step 3: Cross multiply
   105,234x = 223,614 × 223,614
4. Step 4: Simplify right side
   105,234x = 50,003,220,996
5. Step 5: Solve for x
   x = 50,003,220,996/105,234
6. Step 6: Final answer
   x = 475,162.22