Finding the Third Proportional to 1,109,301 and 1,585,219

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109,301 : 1,585,219 = 1,585,219 : x
2. Step 2: Convert to fraction form
   1,109,301/1,585,219 = 1,585,219/x
3. Step 3: Cross multiply
   1,109,301x = 1,585,219 × 1,585,219
4. Step 4: Simplify right side
   1,109,301x = 2,512,919,277,961
5. Step 5: Solve for x
   x = 2,512,919,277,961/1,109,301
6. Step 6: Final answer
   x = 2,265,317.78