Finding the Third Proportional to 105,100 and 223,832

Step by Step Solution

1. Step 1: Write the proportion equation
   105,100 : 223,832 = 223,832 : x
2. Step 2: Convert to fraction form
   105,100/223,832 = 223,832/x
3. Step 3: Cross multiply
   105,100x = 223,832 × 223,832
4. Step 4: Simplify right side
   105,100x = 50,100,764,224
5. Step 5: Solve for x
   x = 50,100,764,224/105,100
6. Step 6: Final answer
   x = 476,696.14