Finding the Third Proportional to 105,576 and 224,106

Step by Step Solution

1. Step 1: Write the proportion equation
   105,576 : 224,106 = 224,106 : x
2. Step 2: Convert to fraction form
   105,576/224,106 = 224,106/x
3. Step 3: Cross multiply
   105,576x = 224,106 × 224,106
4. Step 4: Simplify right side
   105,576x = 50,223,499,236
5. Step 5: Solve for x
   x = 50,223,499,236/105,576
6. Step 6: Final answer
   x = 475,709.43