Finding the Third Proportional to 772,364 and 1,682,036

Step by Step Solution

1. Step 1: Write the proportion equation
   772,364 : 1,682,036 = 1,682,036 : x
2. Step 2: Convert to fraction form
   772,364/1,682,036 = 1,682,036/x
3. Step 3: Cross multiply
   772,364x = 1,682,036 × 1,682,036
4. Step 4: Simplify right side
   772,364x = 2,829,245,105,296
5. Step 5: Solve for x
   x = 2,829,245,105,296/772,364
6. Step 6: Final answer
   x = 3,663,098.11