Finding the Third Proportional to 1,082,008 and 1,688,519

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082,008 : 1,688,519 = 1,688,519 : x
2. Step 2: Convert to fraction form
   1,082,008/1,688,519 = 1,688,519/x
3. Step 3: Cross multiply
   1,082,008x = 1,688,519 × 1,688,519
4. Step 4: Simplify right side
   1,082,008x = 2,851,096,413,361
5. Step 5: Solve for x
   x = 2,851,096,413,361/1,082,008
6. Step 6: Final answer
   x = 2,635,004.93