Finding the Third Proportional to 105,988 and 224,245

Step by Step Solution

1. Step 1: Write the proportion equation
   105,988 : 224,245 = 224,245 : x
2. Step 2: Convert to fraction form
   105,988/224,245 = 224,245/x
3. Step 3: Cross multiply
   105,988x = 224,245 × 224,245
4. Step 4: Simplify right side
   105,988x = 50,285,820,025
5. Step 5: Solve for x
   x = 50,285,820,025/105,988
6. Step 6: Final answer
   x = 474,448.24