Finding the Third Proportional to 219,438 and 472,176

Step by Step Solution

1. Step 1: Write the proportion equation
   219,438 : 472,176 = 472,176 : x
2. Step 2: Convert to fraction form
   219,438/472,176 = 472,176/x
3. Step 3: Cross multiply
   219,438x = 472,176 × 472,176
4. Step 4: Simplify right side
   219,438x = 222,950,174,976
5. Step 5: Solve for x
   x = 222,950,174,976/219,438
6. Step 6: Final answer
   x = 1,016,005.32