Finding the Third Proportional to 339,009 and 512,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   339,009 : 512,881.50 = 512,881.50 : x
2. Step 2: Convert to fraction form
   339,009/512,881.50 = 512,881.50/x
3. Step 3: Cross multiply
   339,009x = 512,881.50 × 512,881.50
4. Step 4: Simplify right side
   339,009x = 263,047,433,042.25
5. Step 5: Solve for x
   x = 263,047,433,042.25/339,009
6. Step 6: Final answer
   x = 775,930.53