Finding the Third Proportional to 1,205,006 and 1,741,168

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205,006 : 1,741,168 = 1,741,168 : x
2. Step 2: Convert to fraction form
   1,205,006/1,741,168 = 1,741,168/x
3. Step 3: Cross multiply
   1,205,006x = 1,741,168 × 1,741,168
4. Step 4: Simplify right side
   1,205,006x = 3,031,666,004,224
5. Step 5: Solve for x
   x = 3,031,666,004,224/1,205,006
6. Step 6: Final answer
   x = 2,515,892.87