Finding the Third Proportional to 216,364 and 470,828

Step by Step Solution

1. Step 1: Write the proportion equation
   216,364 : 470,828 = 470,828 : x
2. Step 2: Convert to fraction form
   216,364/470,828 = 470,828/x
3. Step 3: Cross multiply
   216,364x = 470,828 × 470,828
4. Step 4: Simplify right side
   216,364x = 221,679,005,584
5. Step 5: Solve for x
   x = 221,679,005,584/216,364
6. Step 6: Final answer
   x = 1,024,565.11