Finding the Third Proportional to 105,376 and 223,154

Step by Step Solution

1. Step 1: Write the proportion equation
   105,376 : 223,154 = 223,154 : x
2. Step 2: Convert to fraction form
   105,376/223,154 = 223,154/x
3. Step 3: Cross multiply
   105,376x = 223,154 × 223,154
4. Step 4: Simplify right side
   105,376x = 49,797,707,716
5. Step 5: Solve for x
   x = 49,797,707,716/105,376
6. Step 6: Final answer
   x = 472,571.63