Finding the Third Proportional to 339,036 and 525,294

Step by Step Solution

1. Step 1: Write the proportion equation
   339,036 : 525,294 = 525,294 : x
2. Step 2: Convert to fraction form
   339,036/525,294 = 525,294/x
3. Step 3: Cross multiply
   339,036x = 525,294 × 525,294
4. Step 4: Simplify right side
   339,036x = 275,933,786,436
5. Step 5: Solve for x
   x = 275,933,786,436/339,036
6. Step 6: Final answer
   x = 813,877.54