Finding the Third Proportional to 111,555 and 228,546

Step by Step Solution

1. Step 1: Write the proportion equation
   111,555 : 228,546 = 228,546 : x
2. Step 2: Convert to fraction form
   111,555/228,546 = 228,546/x
3. Step 3: Cross multiply
   111,555x = 228,546 × 228,546
4. Step 4: Simplify right side
   111,555x = 52,233,274,116
5. Step 5: Solve for x
   x = 52,233,274,116/111,555
6. Step 6: Final answer
   x = 468,228.89