Finding the Third Proportional to 150,443 and 313,488

Step by Step Solution

1. Step 1: Write the proportion equation
   150,443 : 313,488 = 313,488 : x
2. Step 2: Convert to fraction form
   150,443/313,488 = 313,488/x
3. Step 3: Cross multiply
   150,443x = 313,488 × 313,488
4. Step 4: Simplify right side
   150,443x = 98,274,726,144
5. Step 5: Solve for x
   x = 98,274,726,144/150,443
6. Step 6: Final answer
   x = 653,235.62