Finding the Third Proportional to 632,142 and 978,165

Step by Step Solution

1. Step 1: Write the proportion equation
   632,142 : 978,165 = 978,165 : x
2. Step 2: Convert to fraction form
   632,142/978,165 = 978,165/x
3. Step 3: Cross multiply
   632,142x = 978,165 × 978,165
4. Step 4: Simplify right side
   632,142x = 956,806,767,225
5. Step 5: Solve for x
   x = 956,806,767,225/632,142
6. Step 6: Final answer
   x = 1,513,594.68