Finding the Third Proportional to 105,166 and 228,077

Step by Step Solution

1. Step 1: Write the proportion equation
   105,166 : 228,077 = 228,077 : x
2. Step 2: Convert to fraction form
   105,166/228,077 = 228,077/x
3. Step 3: Cross multiply
   105,166x = 228,077 × 228,077
4. Step 4: Simplify right side
   105,166x = 52,019,117,929
5. Step 5: Solve for x
   x = 52,019,117,929/105,166
6. Step 6: Final answer
   x = 494,638.17