Finding the Third Proportional to 105,344 and 223,082

Step by Step Solution

1. Step 1: Write the proportion equation
   105,344 : 223,082 = 223,082 : x
2. Step 2: Convert to fraction form
   105,344/223,082 = 223,082/x
3. Step 3: Cross multiply
   105,344x = 223,082 × 223,082
4. Step 4: Simplify right side
   105,344x = 49,765,578,724
5. Step 5: Solve for x
   x = 49,765,578,724/105,344
6. Step 6: Final answer
   x = 472,410.19