Finding the Third Proportional to 381,253.50 and 825,268.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,253.50 : 825,268.50 = 825,268.50 : x
2. Step 2: Convert to fraction form
   381,253.50/825,268.50 = 825,268.50/x
3. Step 3: Cross multiply
   381,253.50x = 825,268.50 × 825,268.50
4. Step 4: Simplify right side
   381,253.50x = 681,068,097,092.25
5. Step 5: Solve for x
   x = 681,068,097,092.25/381,253.50
6. Step 6: Final answer
   x = 1,786,391.72