Finding the Third Proportional to 139.64 and 304.59

Step by Step Solution

1. Step 1: Write the proportion equation
   139.64 : 304.59 = 304.59 : x
2. Step 2: Convert to fraction form
   139.64/304.59 = 304.59/x
3. Step 3: Cross multiply
   139.64x = 304.59 × 304.59
4. Step 4: Simplify right side
   139.64x = 92,777.35
5. Step 5: Solve for x
   x = 92,777.35/139.64
6. Step 6: Final answer
   x = 664.40