Finding the Third Proportional to 740,204 and 1,585,306

Step by Step Solution

1. Step 1: Write the proportion equation
   740,204 : 1,585,306 = 1,585,306 : x
2. Step 2: Convert to fraction form
   740,204/1,585,306 = 1,585,306/x
3. Step 3: Cross multiply
   740,204x = 1,585,306 × 1,585,306
4. Step 4: Simplify right side
   740,204x = 2,513,195,113,636
5. Step 5: Solve for x
   x = 2,513,195,113,636/740,204
6. Step 6: Final answer
   x = 3,395,273.62