Finding the Third Proportional to 105,564 and 224,082

Step by Step Solution

1. Step 1: Write the proportion equation
   105,564 : 224,082 = 224,082 : x
2. Step 2: Convert to fraction form
   105,564/224,082 = 224,082/x
3. Step 3: Cross multiply
   105,564x = 224,082 × 224,082
4. Step 4: Simplify right side
   105,564x = 50,212,742,724
5. Step 5: Solve for x
   x = 50,212,742,724/105,564
6. Step 6: Final answer
   x = 475,661.61