Finding the Third Proportional to 374,586 and 825,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   374,586 : 825,517.50 = 825,517.50 : x
2. Step 2: Convert to fraction form
   374,586/825,517.50 = 825,517.50/x
3. Step 3: Cross multiply
   374,586x = 825,517.50 × 825,517.50
4. Step 4: Simplify right side
   374,586x = 681,479,142,806.25
5. Step 5: Solve for x
   x = 681,479,142,806.25/374,586
6. Step 6: Final answer
   x = 1,819,286.21