Finding the Third Proportional to 219,198 and 471,150

Step by Step Solution

1. Step 1: Write the proportion equation
   219,198 : 471,150 = 471,150 : x
2. Step 2: Convert to fraction form
   219,198/471,150 = 471,150/x
3. Step 3: Cross multiply
   219,198x = 471,150 × 471,150
4. Step 4: Simplify right side
   219,198x = 221,982,322,500
5. Step 5: Solve for x
   x = 221,982,322,500/219,198
6. Step 6: Final answer
   x = 1,012,702.32