Finding the Third Proportional to 313,362 and 470,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   313,362 : 470,738.25 = 470,738.25 : x
2. Step 2: Convert to fraction form
   313,362/470,738.25 = 470,738.25/x
3. Step 3: Cross multiply
   313,362x = 470,738.25 × 470,738.25
4. Step 4: Simplify right side
   313,362x = 221,594,500,013.06
5. Step 5: Solve for x
   x = 221,594,500,013.06/313,362
6. Step 6: Final answer
   x = 707,151.79