Finding the Third Proportional to 823,476 and 1,761,102

Step by Step Solution

1. Step 1: Write the proportion equation
   823,476 : 1,761,102 = 1,761,102 : x
2. Step 2: Convert to fraction form
   823,476/1,761,102 = 1,761,102/x
3. Step 3: Cross multiply
   823,476x = 1,761,102 × 1,761,102
4. Step 4: Simplify right side
   823,476x = 3,101,480,254,404
5. Step 5: Solve for x
   x = 3,101,480,254,404/823,476
6. Step 6: Final answer
   x = 3,766,327.44