Finding the Third Proportional to 218,826 and 471,128

Step by Step Solution

1. Step 1: Write the proportion equation
   218,826 : 471,128 = 471,128 : x
2. Step 2: Convert to fraction form
   218,826/471,128 = 471,128/x
3. Step 3: Cross multiply
   218,826x = 471,128 × 471,128
4. Step 4: Simplify right side
   218,826x = 221,961,592,384
5. Step 5: Solve for x
   x = 221,961,592,384/218,826
6. Step 6: Final answer
   x = 1,014,329.16