Finding the Third Proportional to 654,912 and 978,324

Step by Step Solution

1. Step 1: Write the proportion equation
   654,912 : 978,324 = 978,324 : x
2. Step 2: Convert to fraction form
   654,912/978,324 = 978,324/x
3. Step 3: Cross multiply
   654,912x = 978,324 × 978,324
4. Step 4: Simplify right side
   654,912x = 957,117,848,976
5. Step 5: Solve for x
   x = 957,117,848,976/654,912
6. Step 6: Final answer
   x = 1,461,444.97