Finding the Third Proportional to 105,858 and 228,996

Step by Step Solution

1. Step 1: Write the proportion equation
   105,858 : 228,996 = 228,996 : x
2. Step 2: Convert to fraction form
   105,858/228,996 = 228,996/x
3. Step 3: Cross multiply
   105,858x = 228,996 × 228,996
4. Step 4: Simplify right side
   105,858x = 52,439,168,016
5. Step 5: Solve for x
   x = 52,439,168,016/105,858
6. Step 6: Final answer
   x = 495,372.74