Finding the Third Proportional to 380,063.50 and 825,837

Step by Step Solution

1. Step 1: Write the proportion equation
   380,063.50 : 825,837 = 825,837 : x
2. Step 2: Convert to fraction form
   380,063.50/825,837 = 825,837/x
3. Step 3: Cross multiply
   380,063.50x = 825,837 × 825,837
4. Step 4: Simplify right side
   380,063.50x = 682,006,750,569
5. Step 5: Solve for x
   x = 682,006,750,569/380,063.50
6. Step 6: Final answer
   x = 1,794,454.74