Finding the Third Proportional to 533,729.25 and 825,526.69

Step by Step Solution

1. Step 1: Write the proportion equation
   533,729.25 : 825,526.69 = 825,526.69 : x
2. Step 2: Convert to fraction form
   533,729.25/825,526.69 = 825,526.69/x
3. Step 3: Cross multiply
   533,729.25x = 825,526.69 × 825,526.69
4. Step 4: Simplify right side
   533,729.25x = 681,494,311,774.72
5. Step 5: Solve for x
   x = 681,494,311,774.72/533,729.25
6. Step 6: Final answer
   x = 1,276,853.97