Finding the Third Proportional to 1,109,299 and 1,585,216

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109,299 : 1,585,216 = 1,585,216 : x
2. Step 2: Convert to fraction form
   1,109,299/1,585,216 = 1,585,216/x
3. Step 3: Cross multiply
   1,109,299x = 1,585,216 × 1,585,216
4. Step 4: Simplify right side
   1,109,299x = 2,512,909,766,656
5. Step 5: Solve for x
   x = 2,512,909,766,656/1,109,299
6. Step 6: Final answer
   x = 2,265,313.29