Finding the Third Proportional to 218,664 and 470,844

Step by Step Solution

1. Step 1: Write the proportion equation
   218,664 : 470,844 = 470,844 : x
2. Step 2: Convert to fraction form
   218,664/470,844 = 470,844/x
3. Step 3: Cross multiply
   218,664x = 470,844 × 470,844
4. Step 4: Simplify right side
   218,664x = 221,694,072,336
5. Step 5: Solve for x
   x = 221,694,072,336/218,664
6. Step 6: Final answer
   x = 1,013,857.21