Finding the Third Proportional to 619,409 and 978,971

Step by Step Solution

1. Step 1: Write the proportion equation
   619,409 : 978,971 = 978,971 : x
2. Step 2: Convert to fraction form
   619,409/978,971 = 978,971/x
3. Step 3: Cross multiply
   619,409x = 978,971 × 978,971
4. Step 4: Simplify right side
   619,409x = 958,384,218,841
5. Step 5: Solve for x
   x = 958,384,218,841/619,409
6. Step 6: Final answer
   x = 1,547,255.88