Finding the Third Proportional to 314,219,799,648 and 689,274,171,072

Step by Step Solution

1. Step 1: Write the proportion equation
   314,219,799,648 : 689,274,171,072 = 689,274,171,072 : x
2. Step 2: Convert to fraction form
   314,219,799,648/689,274,171,072 = 689,274,171,072/x
3. Step 3: Cross multiply
   314,219,799,648x = 689,274,171,072 × 689,274,171,072
4. Step 4: Simplify right side
   314,219,799,648x = 475,098,882,906,992,754,556,928
5. Step 5: Solve for x
   x = 475,098,882,906,992,754,556,928/314,219,799,648
6. Step 6: Final answer
   x = 1,511,995,372,154.19