Finding the Third Proportional to 146,180 and 314,919

Step by Step Solution

1. Step 1: Write the proportion equation
   146,180 : 314,919 = 314,919 : x
2. Step 2: Convert to fraction form
   146,180/314,919 = 314,919/x
3. Step 3: Cross multiply
   146,180x = 314,919 × 314,919
4. Step 4: Simplify right side
   146,180x = 99,173,976,561
5. Step 5: Solve for x
   x = 99,173,976,561/146,180
6. Step 6: Final answer
   x = 678,437.38