Finding the Third Proportional to 654,845 and 978,234

Step by Step Solution

1. Step 1: Write the proportion equation
   654,845 : 978,234 = 978,234 : x
2. Step 2: Convert to fraction form
   654,845/978,234 = 978,234/x
3. Step 3: Cross multiply
   654,845x = 978,234 × 978,234
4. Step 4: Simplify right side
   654,845x = 956,941,758,756
5. Step 5: Solve for x
   x = 956,941,758,756/654,845
6. Step 6: Final answer
   x = 1,461,325.59