Finding the Third Proportional to 1,075,872 and 1,582,656

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075,872 : 1,582,656 = 1,582,656 : x
2. Step 2: Convert to fraction form
   1,075,872/1,582,656 = 1,582,656/x
3. Step 3: Cross multiply
   1,075,872x = 1,582,656 × 1,582,656
4. Step 4: Simplify right side
   1,075,872x = 2,504,800,014,336
5. Step 5: Solve for x
   x = 2,504,800,014,336/1,075,872
6. Step 6: Final answer
   x = 2,328,158.01