Finding the Third Proportional to 363,826.50 and 765,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   363,826.50 : 765,353.50 = 765,353.50 : x
2. Step 2: Convert to fraction form
   363,826.50/765,353.50 = 765,353.50/x
3. Step 3: Cross multiply
   363,826.50x = 765,353.50 × 765,353.50
4. Step 4: Simplify right side
   363,826.50x = 585,765,979,962.25
5. Step 5: Solve for x
   x = 585,765,979,962.25/363,826.50
6. Step 6: Final answer
   x = 1,610,014.61