Finding the Third Proportional to 772,377 and 1,682,063

Step by Step Solution

1. Step 1: Write the proportion equation
   772,377 : 1,682,063 = 1,682,063 : x
2. Step 2: Convert to fraction form
   772,377/1,682,063 = 1,682,063/x
3. Step 3: Cross multiply
   772,377x = 1,682,063 × 1,682,063
4. Step 4: Simplify right side
   772,377x = 2,829,335,935,969
5. Step 5: Solve for x
   x = 2,829,335,935,969/772,377
6. Step 6: Final answer
   x = 3,663,154.05