Finding the Third Proportional to 367,065 and 516,914

Step by Step Solution

1. Step 1: Write the proportion equation
   367,065 : 516,914 = 516,914 : x
2. Step 2: Convert to fraction form
   367,065/516,914 = 516,914/x
3. Step 3: Cross multiply
   367,065x = 516,914 × 516,914
4. Step 4: Simplify right side
   367,065x = 267,200,083,396
5. Step 5: Solve for x
   x = 267,200,083,396/367,065
6. Step 6: Final answer
   x = 727,936.70