Finding the Third Proportional to 687,899,443,982 and 1,496,573,497,834

Step by Step Solution

1. Step 1: Write the proportion equation
   687,899,443,982 : 1,496,573,497,834 = 1,496,573,497,834 : x
2. Step 2: Convert to fraction form
   687,899,443,982/1,496,573,497,834 = 1,496,573,497,834/x
3. Step 3: Cross multiply
   687,899,443,982x = 1,496,573,497,834 × 1,496,573,497,834
4. Step 4: Simplify right side
   687,899,443,982x = 2,239,732,234,419,093,635,072,000
5. Step 5: Solve for x
   x = 2,239,732,234,419,093,635,072,000/687,899,443,982
6. Step 6: Final answer
   x = 3,255,900,632,008.22