Finding the Third Proportional to 196,509 and 304,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,509 : 304,369.50 = 304,369.50 : x
2. Step 2: Convert to fraction form
   196,509/304,369.50 = 304,369.50/x
3. Step 3: Cross multiply
   196,509x = 304,369.50 × 304,369.50
4. Step 4: Simplify right side
   196,509x = 92,640,792,530.25
5. Step 5: Solve for x
   x = 92,640,792,530.25/196,509
6. Step 6: Final answer
   x = 471,432.82