Finding the Third Proportional to 135,996 and 319,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,996 : 319,896.50 = 319,896.50 : x
2. Step 2: Convert to fraction form
   135,996/319,896.50 = 319,896.50/x
3. Step 3: Cross multiply
   135,996x = 319,896.50 × 319,896.50
4. Step 4: Simplify right side
   135,996x = 102,333,770,712.25
5. Step 5: Solve for x
   x = 102,333,770,712.25/135,996
6. Step 6: Final answer
   x = 752,476.33