Finding the Third Proportional to 654,838 and 978,223

Step by Step Solution

1. Step 1: Write the proportion equation
   654,838 : 978,223 = 978,223 : x
2. Step 2: Convert to fraction form
   654,838/978,223 = 978,223/x
3. Step 3: Cross multiply
   654,838x = 978,223 × 978,223
4. Step 4: Simplify right side
   654,838x = 956,920,237,729
5. Step 5: Solve for x
   x = 956,920,237,729/654,838
6. Step 6: Final answer
   x = 1,461,308.35