Finding the Third Proportional to 105,164 and 228,166

Step by Step Solution

1. Step 1: Write the proportion equation
   105,164 : 228,166 = 228,166 : x
2. Step 2: Convert to fraction form
   105,164/228,166 = 228,166/x
3. Step 3: Cross multiply
   105,164x = 228,166 × 228,166
4. Step 4: Simplify right side
   105,164x = 52,059,723,556
5. Step 5: Solve for x
   x = 52,059,723,556/105,164
6. Step 6: Final answer
   x = 495,033.70