Finding the Third Proportional to 105,530 and 224,788

Step by Step Solution

1. Step 1: Write the proportion equation
   105,530 : 224,788 = 224,788 : x
2. Step 2: Convert to fraction form
   105,530/224,788 = 224,788/x
3. Step 3: Cross multiply
   105,530x = 224,788 × 224,788
4. Step 4: Simplify right side
   105,530x = 50,529,644,944
5. Step 5: Solve for x
   x = 50,529,644,944/105,530
6. Step 6: Final answer
   x = 478,817.82