Finding the Third Proportional to 111,902 and 228,974

Step by Step Solution

1. Step 1: Write the proportion equation
   111,902 : 228,974 = 228,974 : x
2. Step 2: Convert to fraction form
   111,902/228,974 = 228,974/x
3. Step 3: Cross multiply
   111,902x = 228,974 × 228,974
4. Step 4: Simplify right side
   111,902x = 52,429,092,676
5. Step 5: Solve for x
   x = 52,429,092,676/111,902
6. Step 6: Final answer
   x = 468,526.86