Finding the Third Proportional to 1,205,640 and 1,685,663

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205,640 : 1,685,663 = 1,685,663 : x
2. Step 2: Convert to fraction form
   1,205,640/1,685,663 = 1,685,663/x
3. Step 3: Cross multiply
   1,205,640x = 1,685,663 × 1,685,663
4. Step 4: Simplify right side
   1,205,640x = 2,841,459,749,569
5. Step 5: Solve for x
   x = 2,841,459,749,569/1,205,640
6. Step 6: Final answer
   x = 2,356,806.14