Finding the Third Proportional to 146,304 and 314,804

Step by Step Solution

1. Step 1: Write the proportion equation
   146,304 : 314,804 = 314,804 : x
2. Step 2: Convert to fraction form
   146,304/314,804 = 314,804/x
3. Step 3: Cross multiply
   146,304x = 314,804 × 314,804
4. Step 4: Simplify right side
   146,304x = 99,101,558,416
5. Step 5: Solve for x
   x = 99,101,558,416/146,304
6. Step 6: Final answer
   x = 677,367.39