Finding the Third Proportional to 108,756 and 223,368

Step by Step Solution

1. Step 1: Write the proportion equation
   108,756 : 223,368 = 223,368 : x
2. Step 2: Convert to fraction form
   108,756/223,368 = 223,368/x
3. Step 3: Cross multiply
   108,756x = 223,368 × 223,368
4. Step 4: Simplify right side
   108,756x = 49,893,263,424
5. Step 5: Solve for x
   x = 49,893,263,424/108,756
6. Step 6: Final answer
   x = 458,763.32