Finding the Third Proportional to 150,738 and 313,879.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,738 : 313,879.50 = 313,879.50 : x
2. Step 2: Convert to fraction form
   150,738/313,879.50 = 313,879.50/x
3. Step 3: Cross multiply
   150,738x = 313,879.50 × 313,879.50
4. Step 4: Simplify right side
   150,738x = 98,520,340,520.25
5. Step 5: Solve for x
   x = 98,520,340,520.25/150,738
6. Step 6: Final answer
   x = 653,586.62