Finding the Third Proportional to 150,783 and 313,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,783 : 313,819.50 = 313,819.50 : x
2. Step 2: Convert to fraction form
   150,783/313,819.50 = 313,819.50/x
3. Step 3: Cross multiply
   150,783x = 313,819.50 × 313,819.50
4. Step 4: Simplify right side
   150,783x = 98,482,678,580.25
5. Step 5: Solve for x
   x = 98,482,678,580.25/150,783
6. Step 6: Final answer
   x = 653,141.79