Finding the Third Proportional to 339,050 and 512,014

Step by Step Solution

1. Step 1: Write the proportion equation
   339,050 : 512,014 = 512,014 : x
2. Step 2: Convert to fraction form
   339,050/512,014 = 512,014/x
3. Step 3: Cross multiply
   339,050x = 512,014 × 512,014
4. Step 4: Simplify right side
   339,050x = 262,158,336,196
5. Step 5: Solve for x
   x = 262,158,336,196/339,050
6. Step 6: Final answer
   x = 773,214.38