Finding the Third Proportional to 146,216 and 318,874

Step by Step Solution

1. Step 1: Write the proportion equation
   146,216 : 318,874 = 318,874 : x
2. Step 2: Convert to fraction form
   146,216/318,874 = 318,874/x
3. Step 3: Cross multiply
   146,216x = 318,874 × 318,874
4. Step 4: Simplify right side
   146,216x = 101,680,627,876
5. Step 5: Solve for x
   x = 101,680,627,876/146,216
6. Step 6: Final answer
   x = 695,413.83