Finding the Third Proportional to 823,466 and 1,761,086

Step by Step Solution

1. Step 1: Write the proportion equation
   823,466 : 1,761,086 = 1,761,086 : x
2. Step 2: Convert to fraction form
   823,466/1,761,086 = 1,761,086/x
3. Step 3: Cross multiply
   823,466x = 1,761,086 × 1,761,086
4. Step 4: Simplify right side
   823,466x = 3,101,423,899,396
5. Step 5: Solve for x
   x = 3,101,423,899,396/823,466
6. Step 6: Final answer
   x = 3,766,304.74