Finding the Third Proportional to 501,628 and 978,128

Step by Step Solution

1. Step 1: Write the proportion equation
   501,628 : 978,128 = 978,128 : x
2. Step 2: Convert to fraction form
   501,628/978,128 = 978,128/x
3. Step 3: Cross multiply
   501,628x = 978,128 × 978,128
4. Step 4: Simplify right side
   501,628x = 956,734,384,384
5. Step 5: Solve for x
   x = 956,734,384,384/501,628
6. Step 6: Final answer
   x = 1,907,258.73