Finding the Third Proportional to 145,967 and 314,443

Step by Step Solution

1. Step 1: Write the proportion equation
   145,967 : 314,443 = 314,443 : x
2. Step 2: Convert to fraction form
   145,967/314,443 = 314,443/x
3. Step 3: Cross multiply
   145,967x = 314,443 × 314,443
4. Step 4: Simplify right side
   145,967x = 98,874,400,249
5. Step 5: Solve for x
   x = 98,874,400,249/145,967
6. Step 6: Final answer
   x = 677,375.02