Finding the Third Proportional to 105,749 and 228,921

Step by Step Solution

1. Step 1: Write the proportion equation
   105,749 : 228,921 = 228,921 : x
2. Step 2: Convert to fraction form
   105,749/228,921 = 228,921/x
3. Step 3: Cross multiply
   105,749x = 228,921 × 228,921
4. Step 4: Simplify right side
   105,749x = 52,404,824,241
5. Step 5: Solve for x
   x = 52,404,824,241/105,749
6. Step 6: Final answer
   x = 495,558.58