Finding the Third Proportional to 139.69 and 304.69

Step by Step Solution

1. Step 1: Write the proportion equation
   139.69 : 304.69 = 304.69 : x
2. Step 2: Convert to fraction form
   139.69/304.69 = 304.69/x
3. Step 3: Cross multiply
   139.69x = 304.69 × 304.69
4. Step 4: Simplify right side
   139.69x = 92,834.47
5. Step 5: Solve for x
   x = 92,834.47/139.69
6. Step 6: Final answer
   x = 664.59