Finding the Third Proportional to 367,065 and 516,919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   367,065 : 516,919.50 = 516,919.50 : x
2. Step 2: Convert to fraction form
   367,065/516,919.50 = 516,919.50/x
3. Step 3: Cross multiply
   367,065x = 516,919.50 × 516,919.50
4. Step 4: Simplify right side
   367,065x = 267,205,769,480.25
5. Step 5: Solve for x
   x = 267,205,769,480.25/367,065
6. Step 6: Final answer
   x = 727,952.19