Finding the Third Proportional to 374,535.25 and 825,419

Step by Step Solution

1. Step 1: Write the proportion equation
   374,535.25 : 825,419 = 825,419 : x
2. Step 2: Convert to fraction form
   374,535.25/825,419 = 825,419/x
3. Step 3: Cross multiply
   374,535.25x = 825,419 × 825,419
4. Step 4: Simplify right side
   374,535.25x = 681,316,525,561
5. Step 5: Solve for x
   x = 681,316,525,561/374,535.25
6. Step 6: Final answer
   x = 1,819,098.54