Finding the Third Proportional to 363,584.25 and 781,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   363,584.25 : 781,141.50 = 781,141.50 : x
2. Step 2: Convert to fraction form
   363,584.25/781,141.50 = 781,141.50/x
3. Step 3: Cross multiply
   363,584.25x = 781,141.50 × 781,141.50
4. Step 4: Simplify right side
   363,584.25x = 610,182,043,022.25
5. Step 5: Solve for x
   x = 610,182,043,022.25/363,584.25
6. Step 6: Final answer
   x = 1,678,241.13