Finding the Third Proportional to 501,980 and 978,742

Step by Step Solution

1. Step 1: Write the proportion equation
   501,980 : 978,742 = 978,742 : x
2. Step 2: Convert to fraction form
   501,980/978,742 = 978,742/x
3. Step 3: Cross multiply
   501,980x = 978,742 × 978,742
4. Step 4: Simplify right side
   501,980x = 957,935,902,564
5. Step 5: Solve for x
   x = 957,935,902,564/501,980
6. Step 6: Final answer
   x = 1,908,314.88