Finding the Third Proportional to 111,913 and 228,997

Step by Step Solution

1. Step 1: Write the proportion equation
   111,913 : 228,997 = 228,997 : x
2. Step 2: Convert to fraction form
   111,913/228,997 = 228,997/x
3. Step 3: Cross multiply
   111,913x = 228,997 × 228,997
4. Step 4: Simplify right side
   111,913x = 52,439,626,009
5. Step 5: Solve for x
   x = 52,439,626,009/111,913
6. Step 6: Final answer
   x = 468,574.93