Finding the Third Proportional to 314,219,799,654 and 689,274,171,084

Step by Step Solution

1. Step 1: Write the proportion equation
   314,219,799,654 : 689,274,171,084 = 689,274,171,084 : x
2. Step 2: Convert to fraction form
   314,219,799,654/689,274,171,084 = 689,274,171,084/x
3. Step 3: Cross multiply
   314,219,799,654x = 689,274,171,084 × 689,274,171,084
4. Step 4: Simplify right side
   314,219,799,654x = 475,098,882,923,535,290,859,520
5. Step 5: Solve for x
   x = 475,098,882,923,535,290,859,520/314,219,799,654
6. Step 6: Final answer
   x = 1,511,995,372,177.97