Finding the Third Proportional to 1,024,544 and 1,646,166

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024,544 : 1,646,166 = 1,646,166 : x
2. Step 2: Convert to fraction form
   1,024,544/1,646,166 = 1,646,166/x
3. Step 3: Cross multiply
   1,024,544x = 1,646,166 × 1,646,166
4. Step 4: Simplify right side
   1,024,544x = 2,709,862,499,556
5. Step 5: Solve for x
   x = 2,709,862,499,556/1,024,544
6. Step 6: Final answer
   x = 2,644,944.97