Finding the Third Proportional to 654,830 and 978,211

Step by Step Solution

1. Step 1: Write the proportion equation
   654,830 : 978,211 = 978,211 : x
2. Step 2: Convert to fraction form
   654,830/978,211 = 978,211/x
3. Step 3: Cross multiply
   654,830x = 978,211 × 978,211
4. Step 4: Simplify right side
   654,830x = 956,896,760,521
5. Step 5: Solve for x
   x = 956,896,760,521/654,830
6. Step 6: Final answer
   x = 1,461,290.35