Finding the Third Proportional to 219,796 and 470,696

Step by Step Solution

1. Step 1: Write the proportion equation
   219,796 : 470,696 = 470,696 : x
2. Step 2: Convert to fraction form
   219,796/470,696 = 470,696/x
3. Step 3: Cross multiply
   219,796x = 470,696 × 470,696
4. Step 4: Simplify right side
   219,796x = 221,554,724,416
5. Step 5: Solve for x
   x = 221,554,724,416/219,796
6. Step 6: Final answer
   x = 1,008,001.62