Finding the Third Proportional to 350,978 and 543,004

Step by Step Solution

1. Step 1: Write the proportion equation
   350,978 : 543,004 = 543,004 : x
2. Step 2: Convert to fraction form
   350,978/543,004 = 543,004/x
3. Step 3: Cross multiply
   350,978x = 543,004 × 543,004
4. Step 4: Simplify right side
   350,978x = 294,853,344,016
5. Step 5: Solve for x
   x = 294,853,344,016/350,978
6. Step 6: Final answer
   x = 840,090.67