Finding the Third Proportional to 387,394.50 and 821,682

Step by Step Solution

1. Step 1: Write the proportion equation
   387,394.50 : 821,682 = 821,682 : x
2. Step 2: Convert to fraction form
   387,394.50/821,682 = 821,682/x
3. Step 3: Cross multiply
   387,394.50x = 821,682 × 821,682
4. Step 4: Simplify right side
   387,394.50x = 675,161,309,124
5. Step 5: Solve for x
   x = 675,161,309,124/387,394.50
6. Step 6: Final answer
   x = 1,742,826.26