Finding the Third Proportional to 1,109,278 and 1,585,147

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109,278 : 1,585,147 = 1,585,147 : x
2. Step 2: Convert to fraction form
   1,109,278/1,585,147 = 1,585,147/x
3. Step 3: Cross multiply
   1,109,278x = 1,585,147 × 1,585,147
4. Step 4: Simplify right side
   1,109,278x = 2,512,691,011,609
5. Step 5: Solve for x
   x = 2,512,691,011,609/1,109,278
6. Step 6: Final answer
   x = 2,265,158.97