Finding the Third Proportional to 1,109,297 and 1,585,213

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109,297 : 1,585,213 = 1,585,213 : x
2. Step 2: Convert to fraction form
   1,109,297/1,585,213 = 1,585,213/x
3. Step 3: Cross multiply
   1,109,297x = 1,585,213 × 1,585,213
4. Step 4: Simplify right side
   1,109,297x = 2,512,900,255,369
5. Step 5: Solve for x
   x = 2,512,900,255,369/1,109,297
6. Step 6: Final answer
   x = 2,265,308.80