Finding the Third Proportional to 323,235 and 509,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   323,235 : 509,809.50 = 509,809.50 : x
2. Step 2: Convert to fraction form
   323,235/509,809.50 = 509,809.50/x
3. Step 3: Cross multiply
   323,235x = 509,809.50 × 509,809.50
4. Step 4: Simplify right side
   323,235x = 259,905,726,290.25
5. Step 5: Solve for x
   x = 259,905,726,290.25/323,235
6. Step 6: Final answer
   x = 804,076.68