Finding the Third Proportional to 105,380 and 223,162

Step by Step Solution

1. Step 1: Write the proportion equation
   105,380 : 223,162 = 223,162 : x
2. Step 2: Convert to fraction form
   105,380/223,162 = 223,162/x
3. Step 3: Cross multiply
   105,380x = 223,162 × 223,162
4. Step 4: Simplify right side
   105,380x = 49,801,278,244
5. Step 5: Solve for x
   x = 49,801,278,244/105,380
6. Step 6: Final answer
   x = 472,587.57