Finding the Third Proportional to 105,992 and 224,254

Step by Step Solution

1. Step 1: Write the proportion equation
   105,992 : 224,254 = 224,254 : x
2. Step 2: Convert to fraction form
   105,992/224,254 = 224,254/x
3. Step 3: Cross multiply
   105,992x = 224,254 × 224,254
4. Step 4: Simplify right side
   105,992x = 50,289,856,516
5. Step 5: Solve for x
   x = 50,289,856,516/105,992
6. Step 6: Final answer
   x = 474,468.42