Finding the Third Proportional to 147.38 and 304.59

Step by Step Solution

1. Step 1: Write the proportion equation
   147.38 : 304.59 = 304.59 : x
2. Step 2: Convert to fraction form
   147.38/304.59 = 304.59/x
3. Step 3: Cross multiply
   147.38x = 304.59 × 304.59
4. Step 4: Simplify right side
   147.38x = 92,777.35
5. Step 5: Solve for x
   x = 92,777.35/147.38
6. Step 6: Final answer
   x = 629.53