Finding the Third Proportional to 101,836 and 223,256

Step by Step Solution

1. Step 1: Write the proportion equation
   101,836 : 223,256 = 223,256 : x
2. Step 2: Convert to fraction form
   101,836/223,256 = 223,256/x
3. Step 3: Cross multiply
   101,836x = 223,256 × 223,256
4. Step 4: Simplify right side
   101,836x = 49,843,241,536
5. Step 5: Solve for x
   x = 49,843,241,536/101,836
6. Step 6: Final answer
   x = 489,446.18