Finding the Third Proportional to 146,157 and 314,874

Step by Step Solution

1. Step 1: Write the proportion equation
   146,157 : 314,874 = 314,874 : x
2. Step 2: Convert to fraction form
   146,157/314,874 = 314,874/x
3. Step 3: Cross multiply
   146,157x = 314,874 × 314,874
4. Step 4: Simplify right side
   146,157x = 99,145,635,876
5. Step 5: Solve for x
   x = 99,145,635,876/146,157
6. Step 6: Final answer
   x = 678,350.24