Finding the Third Proportional to 150,376 and 313,150

Step by Step Solution

1. Step 1: Write the proportion equation
   150,376 : 313,150 = 313,150 : x
2. Step 2: Convert to fraction form
   150,376/313,150 = 313,150/x
3. Step 3: Cross multiply
   150,376x = 313,150 × 313,150
4. Step 4: Simplify right side
   150,376x = 98,062,922,500
5. Step 5: Solve for x
   x = 98,062,922,500/150,376
6. Step 6: Final answer
   x = 652,118.17