Finding the Third Proportional to 105,950 and 224,536

Step by Step Solution

1. Step 1: Write the proportion equation
   105,950 : 224,536 = 224,536 : x
2. Step 2: Convert to fraction form
   105,950/224,536 = 224,536/x
3. Step 3: Cross multiply
   105,950x = 224,536 × 224,536
4. Step 4: Simplify right side
   105,950x = 50,416,415,296
5. Step 5: Solve for x
   x = 50,416,415,296/105,950
6. Step 6: Final answer
   x = 475,851.02