Finding the Third Proportional to 1,082,005 and 1,688,516

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082,005 : 1,688,516 = 1,688,516 : x
2. Step 2: Convert to fraction form
   1,082,005/1,688,516 = 1,688,516/x
3. Step 3: Cross multiply
   1,082,005x = 1,688,516 × 1,688,516
4. Step 4: Simplify right side
   1,082,005x = 2,851,086,282,256
5. Step 5: Solve for x
   x = 2,851,086,282,256/1,082,005
6. Step 6: Final answer
   x = 2,635,002.87