Finding the Third Proportional to 685,925 and 978,442

Step by Step Solution

1. Step 1: Write the proportion equation
   685,925 : 978,442 = 978,442 : x
2. Step 2: Convert to fraction form
   685,925/978,442 = 978,442/x
3. Step 3: Cross multiply
   685,925x = 978,442 × 978,442
4. Step 4: Simplify right side
   685,925x = 957,348,747,364
5. Step 5: Solve for x
   x = 957,348,747,364/685,925
6. Step 6: Final answer
   x = 1,395,704.70