Finding the Third Proportional to 546,316 and 857,012

Step by Step Solution

1. Step 1: Write the proportion equation
   546,316 : 857,012 = 857,012 : x
2. Step 2: Convert to fraction form
   546,316/857,012 = 857,012/x
3. Step 3: Cross multiply
   546,316x = 857,012 × 857,012
4. Step 4: Simplify right side
   546,316x = 734,469,568,144
5. Step 5: Solve for x
   x = 734,469,568,144/546,316
6. Step 6: Final answer
   x = 1,344,404.28