Finding the Third Proportional to 105,071 and 224,905

Step by Step Solution

1. Step 1: Write the proportion equation
   105,071 : 224,905 = 224,905 : x
2. Step 2: Convert to fraction form
   105,071/224,905 = 224,905/x
3. Step 3: Cross multiply
   105,071x = 224,905 × 224,905
4. Step 4: Simplify right side
   105,071x = 50,582,259,025
5. Step 5: Solve for x
   x = 50,582,259,025/105,071
6. Step 6: Final answer
   x = 481,410.28