Finding the Third Proportional to 1,585,740 and 2,260,510

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585,740 : 2,260,510 = 2,260,510 : x
2. Step 2: Convert to fraction form
   1,585,740/2,260,510 = 2,260,510/x
3. Step 3: Cross multiply
   1,585,740x = 2,260,510 × 2,260,510
4. Step 4: Simplify right side
   1,585,740x = 5,109,905,460,100
5. Step 5: Solve for x
   x = 5,109,905,460,100/1,585,740
6. Step 6: Final answer
   x = 3,222,410.65