Finding the Third Proportional to 1,161,938 and 1,584,080

Step by Step Solution

1. Step 1: Write the proportion equation
   1,161,938 : 1,584,080 = 1,584,080 : x
2. Step 2: Convert to fraction form
   1,161,938/1,584,080 = 1,584,080/x
3. Step 3: Cross multiply
   1,161,938x = 1,584,080 × 1,584,080
4. Step 4: Simplify right side
   1,161,938x = 2,509,309,446,400
5. Step 5: Solve for x
   x = 2,509,309,446,400/1,161,938
6. Step 6: Final answer
   x = 2,159,589.79