Finding the Third Proportional to 111,906 and 228,982

Step by Step Solution

1. Step 1: Write the proportion equation
   111,906 : 228,982 = 228,982 : x
2. Step 2: Convert to fraction form
   111,906/228,982 = 228,982/x
3. Step 3: Cross multiply
   111,906x = 228,982 × 228,982
4. Step 4: Simplify right side
   111,906x = 52,432,756,324
5. Step 5: Solve for x
   x = 52,432,756,324/111,906
6. Step 6: Final answer
   x = 468,542.85