Finding the Third Proportional to 632,144 and 978,168

Step by Step Solution

1. Step 1: Write the proportion equation
   632,144 : 978,168 = 978,168 : x
2. Step 2: Convert to fraction form
   632,144/978,168 = 978,168/x
3. Step 3: Cross multiply
   632,144x = 978,168 × 978,168
4. Step 4: Simplify right side
   632,144x = 956,812,636,224
5. Step 5: Solve for x
   x = 956,812,636,224/632,144
6. Step 6: Final answer
   x = 1,513,599.17