Finding the Third Proportional to 145,978.50 and 313,782

Step by Step Solution

1. Step 1: Write the proportion equation
   145,978.50 : 313,782 = 313,782 : x
2. Step 2: Convert to fraction form
   145,978.50/313,782 = 313,782/x
3. Step 3: Cross multiply
   145,978.50x = 313,782 × 313,782
4. Step 4: Simplify right side
   145,978.50x = 98,459,143,524
5. Step 5: Solve for x
   x = 98,459,143,524/145,978.50
6. Step 6: Final answer
   x = 674,477.02