Finding the Third Proportional to 105,944 and 228,692

Step by Step Solution

1. Step 1: Write the proportion equation
   105,944 : 228,692 = 228,692 : x
2. Step 2: Convert to fraction form
   105,944/228,692 = 228,692/x
3. Step 3: Cross multiply
   105,944x = 228,692 × 228,692
4. Step 4: Simplify right side
   105,944x = 52,300,030,864
5. Step 5: Solve for x
   x = 52,300,030,864/105,944
6. Step 6: Final answer
   x = 493,657.32