Finding the Third Proportional to 532,198.50 and 826,326

Step by Step Solution

1. Step 1: Write the proportion equation
   532,198.50 : 826,326 = 826,326 : x
2. Step 2: Convert to fraction form
   532,198.50/826,326 = 826,326/x
3. Step 3: Cross multiply
   532,198.50x = 826,326 × 826,326
4. Step 4: Simplify right side
   532,198.50x = 682,814,658,276
5. Step 5: Solve for x
   x = 682,814,658,276/532,198.50
6. Step 6: Final answer
   x = 1,283,007.48