Finding the Third Proportional to 300,016.50 and 422,010.75

Step by Step Solution

1. Step 1: Write the proportion equation
   300,016.50 : 422,010.75 = 422,010.75 : x
2. Step 2: Convert to fraction form
   300,016.50/422,010.75 = 422,010.75/x
3. Step 3: Cross multiply
   300,016.50x = 422,010.75 × 422,010.75
4. Step 4: Simplify right side
   300,016.50x = 178,093,073,115.56
5. Step 5: Solve for x
   x = 178,093,073,115.56/300,016.50
6. Step 6: Final answer
   x = 593,610.93