Finding the Third Proportional to 314,219,799,658 and 689,274,171,092

Step by Step Solution

1. Step 1: Write the proportion equation
   314,219,799,658 : 689,274,171,092 = 689,274,171,092 : x
2. Step 2: Convert to fraction form
   314,219,799,658/689,274,171,092 = 689,274,171,092/x
3. Step 3: Cross multiply
   314,219,799,658x = 689,274,171,092 × 689,274,171,092
4. Step 4: Simplify right side
   314,219,799,658x = 475,098,882,934,563,693,133,824
5. Step 5: Solve for x
   x = 475,098,882,934,563,693,133,824/314,219,799,658
6. Step 6: Final answer
   x = 1,511,995,372,193.82