Finding the Third Proportional to 105,166 and 228,170

Step by Step Solution

1. Step 1: Write the proportion equation
   105,166 : 228,170 = 228,170 : x
2. Step 2: Convert to fraction form
   105,166/228,170 = 228,170/x
3. Step 3: Cross multiply
   105,166x = 228,170 × 228,170
4. Step 4: Simplify right side
   105,166x = 52,061,548,900
5. Step 5: Solve for x
   x = 52,061,548,900/105,166
6. Step 6: Final answer
   x = 495,041.64