Finding the Third Proportional to 1,585,512 and 2,798,640

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585,512 : 2,798,640 = 2,798,640 : x
2. Step 2: Convert to fraction form
   1,585,512/2,798,640 = 2,798,640/x
3. Step 3: Cross multiply
   1,585,512x = 2,798,640 × 2,798,640
4. Step 4: Simplify right side
   1,585,512x = 7,832,385,849,600
5. Step 5: Solve for x
   x = 7,832,385,849,600/1,585,512
6. Step 6: Final answer
   x = 4,939,972.61