Finding the Third Proportional to 1,085,193 and 1,596,420

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085,193 : 1,596,420 = 1,596,420 : x
2. Step 2: Convert to fraction form
   1,085,193/1,596,420 = 1,596,420/x
3. Step 3: Cross multiply
   1,085,193x = 1,596,420 × 1,596,420
4. Step 4: Simplify right side
   1,085,193x = 2,548,556,816,400
5. Step 5: Solve for x
   x = 2,548,556,816,400/1,085,193
6. Step 6: Final answer
   x = 2,348,482.54