Finding the Third Proportional to 111,917 and 229,003

Step by Step Solution

1. Step 1: Write the proportion equation
   111,917 : 229,003 = 229,003 : x
2. Step 2: Convert to fraction form
   111,917/229,003 = 229,003/x
3. Step 3: Cross multiply
   111,917x = 229,003 × 229,003
4. Step 4: Simplify right side
   111,917x = 52,442,374,009
5. Step 5: Solve for x
   x = 52,442,374,009/111,917
6. Step 6: Final answer
   x = 468,582.74