Finding the Third Proportional to 309,744 and 470,508.75

Step by Step Solution

1. Step 1: Write the proportion equation
   309,744 : 470,508.75 = 470,508.75 : x
2. Step 2: Convert to fraction form
   309,744/470,508.75 = 470,508.75/x
3. Step 3: Cross multiply
   309,744x = 470,508.75 × 470,508.75
4. Step 4: Simplify right side
   309,744x = 221,378,483,826.56
5. Step 5: Solve for x
   x = 221,378,483,826.56/309,744
6. Step 6: Final answer
   x = 714,714.36