Finding the Third Proportional to 680,406 and 1,464,816

Step by Step Solution

1. Step 1: Write the proportion equation
   680,406 : 1,464,816 = 1,464,816 : x
2. Step 2: Convert to fraction form
   680,406/1,464,816 = 1,464,816/x
3. Step 3: Cross multiply
   680,406x = 1,464,816 × 1,464,816
4. Step 4: Simplify right side
   680,406x = 2,145,685,913,856
5. Step 5: Solve for x
   x = 2,145,685,913,856/680,406
6. Step 6: Final answer
   x = 3,153,537.61