Finding the Third Proportional to 380,035.50 and 825,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,035.50 : 825,781.50 = 825,781.50 : x
2. Step 2: Convert to fraction form
   380,035.50/825,781.50 = 825,781.50/x
3. Step 3: Cross multiply
   380,035.50x = 825,781.50 × 825,781.50
4. Step 4: Simplify right side
   380,035.50x = 681,915,085,742.25
5. Step 5: Solve for x
   x = 681,915,085,742.25/380,035.50
6. Step 6: Final answer
   x = 1,794,345.75