Finding the Third Proportional to 1,297,514 and 1,965,646

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297,514 : 1,965,646 = 1,965,646 : x
2. Step 2: Convert to fraction form
   1,297,514/1,965,646 = 1,965,646/x
3. Step 3: Cross multiply
   1,297,514x = 1,965,646 × 1,965,646
4. Step 4: Simplify right side
   1,297,514x = 3,863,764,197,316
5. Step 5: Solve for x
   x = 3,863,764,197,316/1,297,514
6. Step 6: Final answer
   x = 2,977,820.82