Finding the Third Proportional to 1,109,310 and 1,585,233

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109,310 : 1,585,233 = 1,585,233 : x
2. Step 2: Convert to fraction form
   1,109,310/1,585,233 = 1,585,233/x
3. Step 3: Cross multiply
   1,109,310x = 1,585,233 × 1,585,233
4. Step 4: Simplify right side
   1,109,310x = 2,512,963,664,289
5. Step 5: Solve for x
   x = 2,512,963,664,289/1,109,310
6. Step 6: Final answer
   x = 2,265,339.41