Finding the Third Proportional to 105,581 and 224,116

Step by Step Solution

1. Step 1: Write the proportion equation
   105,581 : 224,116 = 224,116 : x
2. Step 2: Convert to fraction form
   105,581/224,116 = 224,116/x
3. Step 3: Cross multiply
   105,581x = 224,116 × 224,116
4. Step 4: Simplify right side
   105,581x = 50,227,981,456
5. Step 5: Solve for x
   x = 50,227,981,456/105,581
6. Step 6: Final answer
   x = 475,729.36