Finding the Third Proportional to 632,128 and 978,144

Step by Step Solution

1. Step 1: Write the proportion equation
   632,128 : 978,144 = 978,144 : x
2. Step 2: Convert to fraction form
   632,128/978,144 = 978,144/x
3. Step 3: Cross multiply
   632,128x = 978,144 × 978,144
4. Step 4: Simplify right side
   632,128x = 956,765,684,736
5. Step 5: Solve for x
   x = 956,765,684,736/632,128
6. Step 6: Final answer
   x = 1,513,563.21