Finding the Third Proportional to 304,822 and 470,144

Step by Step Solution

1. Step 1: Write the proportion equation
   304,822 : 470,144 = 470,144 : x
2. Step 2: Convert to fraction form
   304,822/470,144 = 470,144/x
3. Step 3: Cross multiply
   304,822x = 470,144 × 470,144
4. Step 4: Simplify right side
   304,822x = 221,035,380,736
5. Step 5: Solve for x
   x = 221,035,380,736/304,822
6. Step 6: Final answer
   x = 725,129.36