Finding the Third Proportional to 105,168 and 228,174

Step by Step Solution

1. Step 1: Write the proportion equation
   105,168 : 228,174 = 228,174 : x
2. Step 2: Convert to fraction form
   105,168/228,174 = 228,174/x
3. Step 3: Cross multiply
   105,168x = 228,174 × 228,174
4. Step 4: Simplify right side
   105,168x = 52,063,374,276
5. Step 5: Solve for x
   x = 52,063,374,276/105,168
6. Step 6: Final answer
   x = 495,049.58