Finding the Third Proportional to 219,814 and 470,724

Step by Step Solution

1. Step 1: Write the proportion equation
   219,814 : 470,724 = 470,724 : x
2. Step 2: Convert to fraction form
   219,814/470,724 = 470,724/x
3. Step 3: Cross multiply
   219,814x = 470,724 × 470,724
4. Step 4: Simplify right side
   219,814x = 221,581,084,176
5. Step 5: Solve for x
   x = 221,581,084,176/219,814
6. Step 6: Final answer
   x = 1,008,039.00