Finding the Third Proportional to 145,920 and 314,355

Step by Step Solution

1. Step 1: Write the proportion equation
   145,920 : 314,355 = 314,355 : x
2. Step 2: Convert to fraction form
   145,920/314,355 = 314,355/x
3. Step 3: Cross multiply
   145,920x = 314,355 × 314,355
4. Step 4: Simplify right side
   145,920x = 98,819,066,025
5. Step 5: Solve for x
   x = 98,819,066,025/145,920
6. Step 6: Final answer
   x = 677,213.99