Finding the Third Proportional to 374,538 and 825,426

Step by Step Solution

1. Step 1: Write the proportion equation
   374,538 : 825,426 = 825,426 : x
2. Step 2: Convert to fraction form
   374,538/825,426 = 825,426/x
3. Step 3: Cross multiply
   374,538x = 825,426 × 825,426
4. Step 4: Simplify right side
   374,538x = 681,328,081,476
5. Step 5: Solve for x
   x = 681,328,081,476/374,538
6. Step 6: Final answer
   x = 1,819,116.03