Finding the Third Proportional to 676,644 and 1,469,916

Step by Step Solution

1. Step 1: Write the proportion equation
   676,644 : 1,469,916 = 1,469,916 : x
2. Step 2: Convert to fraction form
   676,644/1,469,916 = 1,469,916/x
3. Step 3: Cross multiply
   676,644x = 1,469,916 × 1,469,916
4. Step 4: Simplify right side
   676,644x = 2,160,653,047,056
5. Step 5: Solve for x
   x = 2,160,653,047,056/676,644
6. Step 6: Final answer
   x = 3,193,190.28