Finding the Third Proportional to 766,671 and 1,680,966

Step by Step Solution

1. Step 1: Write the proportion equation
   766,671 : 1,680,966 = 1,680,966 : x
2. Step 2: Convert to fraction form
   766,671/1,680,966 = 1,680,966/x
3. Step 3: Cross multiply
   766,671x = 1,680,966 × 1,680,966
4. Step 4: Simplify right side
   766,671x = 2,825,646,693,156
5. Step 5: Solve for x
   x = 2,825,646,693,156/766,671
6. Step 6: Final answer
   x = 3,685,605.29