Finding the Third Proportional to 772,375 and 1,682,059

Step by Step Solution

1. Step 1: Write the proportion equation
   772,375 : 1,682,059 = 1,682,059 : x
2. Step 2: Convert to fraction form
   772,375/1,682,059 = 1,682,059/x
3. Step 3: Cross multiply
   772,375x = 1,682,059 × 1,682,059
4. Step 4: Simplify right side
   772,375x = 2,829,322,479,481
5. Step 5: Solve for x
   x = 2,829,322,479,481/772,375
6. Step 6: Final answer
   x = 3,663,146.11