Finding the Third Proportional to 1,109,344 and 1,585,264

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109,344 : 1,585,264 = 1,585,264 : x
2. Step 2: Convert to fraction form
   1,109,344/1,585,264 = 1,585,264/x
3. Step 3: Cross multiply
   1,109,344x = 1,585,264 × 1,585,264
4. Step 4: Simplify right side
   1,109,344x = 2,513,061,949,696
5. Step 5: Solve for x
   x = 2,513,061,949,696/1,109,344
6. Step 6: Final answer
   x = 2,265,358.58