Finding the Third Proportional to 146,016 and 213,480.56

Step by Step Solution

1. Step 1: Write the proportion equation
   146,016 : 213,480.56 = 213,480.56 : x
2. Step 2: Convert to fraction form
   146,016/213,480.56 = 213,480.56/x
3. Step 3: Cross multiply
   146,016x = 213,480.56 × 213,480.56
4. Step 4: Simplify right side
   146,016x = 45,573,950,565.32
5. Step 5: Solve for x
   x = 45,573,950,565.32/146,016
6. Step 6: Final answer
   x = 312,116.14