Finding the Third Proportional to 525,541 and 801,434

Step by Step Solution

1. Step 1: Write the proportion equation
   525,541 : 801,434 = 801,434 : x
2. Step 2: Convert to fraction form
   525,541/801,434 = 801,434/x
3. Step 3: Cross multiply
   525,541x = 801,434 × 801,434
4. Step 4: Simplify right side
   525,541x = 642,296,456,356
5. Step 5: Solve for x
   x = 642,296,456,356/525,541
6. Step 6: Final answer
   x = 1,222,162.41