Finding the Third Proportional to 680,514 and 1,430,682

Step by Step Solution

1. Step 1: Write the proportion equation
   680,514 : 1,430,682 = 1,430,682 : x
2. Step 2: Convert to fraction form
   680,514/1,430,682 = 1,430,682/x
3. Step 3: Cross multiply
   680,514x = 1,430,682 × 1,430,682
4. Step 4: Simplify right side
   680,514x = 2,046,850,985,124
5. Step 5: Solve for x
   x = 2,046,850,985,124/680,514
6. Step 6: Final answer
   x = 3,007,801.43