Finding the Third Proportional to 115,205 and 239,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,205 : 239,608.50 = 239,608.50 : x
2. Step 2: Convert to fraction form
   115,205/239,608.50 = 239,608.50/x
3. Step 3: Cross multiply
   115,205x = 239,608.50 × 239,608.50
4. Step 4: Simplify right side
   115,205x = 57,412,233,272.25
5. Step 5: Solve for x
   x = 57,412,233,272.25/115,205
6. Step 6: Final answer
   x = 498,348.45