Finding the Third Proportional to 304,826 and 470,150

Step by Step Solution

1. Step 1: Write the proportion equation
   304,826 : 470,150 = 470,150 : x
2. Step 2: Convert to fraction form
   304,826/470,150 = 470,150/x
3. Step 3: Cross multiply
   304,826x = 470,150 × 470,150
4. Step 4: Simplify right side
   304,826x = 221,041,022,500
5. Step 5: Solve for x
   x = 221,041,022,500/304,826
6. Step 6: Final answer
   x = 725,138.35