Finding the Third Proportional to 145,990 and 314,766

Step by Step Solution

1. Step 1: Write the proportion equation
   145,990 : 314,766 = 314,766 : x
2. Step 2: Convert to fraction form
   145,990/314,766 = 314,766/x
3. Step 3: Cross multiply
   145,990x = 314,766 × 314,766
4. Step 4: Simplify right side
   145,990x = 99,077,634,756
5. Step 5: Solve for x
   x = 99,077,634,756/145,990
6. Step 6: Final answer
   x = 678,660.42