Finding the Third Proportional to 654,849 and 978,240

Step by Step Solution

1. Step 1: Write the proportion equation
   654,849 : 978,240 = 978,240 : x
2. Step 2: Convert to fraction form
   654,849/978,240 = 978,240/x
3. Step 3: Cross multiply
   654,849x = 978,240 × 978,240
4. Step 4: Simplify right side
   654,849x = 956,953,497,600
5. Step 5: Solve for x
   x = 956,953,497,600/654,849
6. Step 6: Final answer
   x = 1,461,334.59