Finding the Third Proportional to 823,110 and 1,760,322

Step by Step Solution

1. Step 1: Write the proportion equation
   823,110 : 1,760,322 = 1,760,322 : x
2. Step 2: Convert to fraction form
   823,110/1,760,322 = 1,760,322/x
3. Step 3: Cross multiply
   823,110x = 1,760,322 × 1,760,322
4. Step 4: Simplify right side
   823,110x = 3,098,733,543,684
5. Step 5: Solve for x
   x = 3,098,733,543,684/823,110
6. Step 6: Final answer
   x = 3,764,665.16