Finding the Third Proportional to 105,236 and 223,615

Step by Step Solution

1. Step 1: Write the proportion equation
   105,236 : 223,615 = 223,615 : x
2. Step 2: Convert to fraction form
   105,236/223,615 = 223,615/x
3. Step 3: Cross multiply
   105,236x = 223,615 × 223,615
4. Step 4: Simplify right side
   105,236x = 50,003,668,225
5. Step 5: Solve for x
   x = 50,003,668,225/105,236
6. Step 6: Final answer
   x = 475,157.44