Finding the Third Proportional to 823,461 and 1,761,078

Step by Step Solution

1. Step 1: Write the proportion equation
   823,461 : 1,761,078 = 1,761,078 : x
2. Step 2: Convert to fraction form
   823,461/1,761,078 = 1,761,078/x
3. Step 3: Cross multiply
   823,461x = 1,761,078 × 1,761,078
4. Step 4: Simplify right side
   823,461x = 3,101,395,722,084
5. Step 5: Solve for x
   x = 3,101,395,722,084/823,461
6. Step 6: Final answer
   x = 3,766,293.39