Finding the Third Proportional to 827,929,413 and 1,680,187,662

Step by Step Solution

1. Step 1: Write the proportion equation
   827,929,413 : 1,680,187,662 = 1,680,187,662 : x
2. Step 2: Convert to fraction form
   827,929,413/1,680,187,662 = 1,680,187,662/x
3. Step 3: Cross multiply
   827,929,413x = 1,680,187,662 × 1,680,187,662
4. Step 4: Simplify right side
   827,929,413x = 2,823,030,579,537,026,048
5. Step 5: Solve for x
   x = 2,823,030,579,537,026,048/827,929,413
6. Step 6: Final answer
   x = 3,409,747,902.67