Finding the Third Proportional to 105,230 and 223,606

Step by Step Solution

1. Step 1: Write the proportion equation
   105,230 : 223,606 = 223,606 : x
2. Step 2: Convert to fraction form
   105,230/223,606 = 223,606/x
3. Step 3: Cross multiply
   105,230x = 223,606 × 223,606
4. Step 4: Simplify right side
   105,230x = 49,999,643,236
5. Step 5: Solve for x
   x = 49,999,643,236/105,230
6. Step 6: Final answer
   x = 475,146.28