Finding the Third Proportional to 1,205,096 and 1,599,320

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205,096 : 1,599,320 = 1,599,320 : x
2. Step 2: Convert to fraction form
   1,205,096/1,599,320 = 1,599,320/x
3. Step 3: Cross multiply
   1,205,096x = 1,599,320 × 1,599,320
4. Step 4: Simplify right side
   1,205,096x = 2,557,824,462,400
5. Step 5: Solve for x
   x = 2,557,824,462,400/1,205,096
6. Step 6: Final answer
   x = 2,122,506.81