Finding the Third Proportional to 149.34 and 304.59

Step by Step Solution

1. Step 1: Write the proportion equation
   149.34 : 304.59 = 304.59 : x
2. Step 2: Convert to fraction form
   149.34/304.59 = 304.59/x
3. Step 3: Cross multiply
   149.34x = 304.59 × 304.59
4. Step 4: Simplify right side
   149.34x = 92,777.35
5. Step 5: Solve for x
   x = 92,777.35/149.34
6. Step 6: Final answer
   x = 621.23