Finding the Third Proportional to 766,834 and 1,661,466

Step by Step Solution

1. Step 1: Write the proportion equation
   766,834 : 1,661,466 = 1,661,466 : x
2. Step 2: Convert to fraction form
   766,834/1,661,466 = 1,661,466/x
3. Step 3: Cross multiply
   766,834x = 1,661,466 × 1,661,466
4. Step 4: Simplify right side
   766,834x = 2,760,469,269,156
5. Step 5: Solve for x
   x = 2,760,469,269,156/766,834
6. Step 6: Final answer
   x = 3,599,826.39