Finding the Third Proportional to 380,063.75 and 825,838

Step by Step Solution

1. Step 1: Write the proportion equation
   380,063.75 : 825,838 = 825,838 : x
2. Step 2: Convert to fraction form
   380,063.75/825,838 = 825,838/x
3. Step 3: Cross multiply
   380,063.75x = 825,838 × 825,838
4. Step 4: Simplify right side
   380,063.75x = 682,008,402,244
5. Step 5: Solve for x
   x = 682,008,402,244/380,063.75
6. Step 6: Final answer
   x = 1,794,457.91