Finding the Third Proportional to 314,219,799,630 and 689,274,171,036

Step by Step Solution

1. Step 1: Write the proportion equation
   314,219,799,630 : 689,274,171,036 = 689,274,171,036 : x
2. Step 2: Convert to fraction form
   314,219,799,630/689,274,171,036 = 689,274,171,036/x
3. Step 3: Cross multiply
   314,219,799,630x = 689,274,171,036 × 689,274,171,036
4. Step 4: Simplify right side
   314,219,799,630x = 475,098,882,857,365,011,431,424
5. Step 5: Solve for x
   x = 475,098,882,857,365,011,431,424/314,219,799,630
6. Step 6: Final answer
   x = 1,511,995,372,082.86