Finding the Third Proportional to 300,021.75 and 422,018.25

Step by Step Solution

1. Step 1: Write the proportion equation
   300,021.75 : 422,018.25 = 422,018.25 : x
2. Step 2: Convert to fraction form
   300,021.75/422,018.25 = 422,018.25/x
3. Step 3: Cross multiply
   300,021.75x = 422,018.25 × 422,018.25
4. Step 4: Simplify right side
   300,021.75x = 178,099,403,333.06
5. Step 5: Solve for x
   x = 178,099,403,333.06/300,021.75
6. Step 6: Final answer
   x = 593,621.64