Finding the Third Proportional to 1,082,004 and 1,688,513

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082,004 : 1,688,513 = 1,688,513 : x
2. Step 2: Convert to fraction form
   1,082,004/1,688,513 = 1,688,513/x
3. Step 3: Cross multiply
   1,082,004x = 1,688,513 × 1,688,513
4. Step 4: Simplify right side
   1,082,004x = 2,851,076,151,169
5. Step 5: Solve for x
   x = 2,851,076,151,169/1,082,004
6. Step 6: Final answer
   x = 2,634,995.94