Finding the Third Proportional to 142.47 and 304.63

Step by Step Solution

1. Step 1: Write the proportion equation
   142.47 : 304.63 = 304.63 : x
2. Step 2: Convert to fraction form
   142.47/304.63 = 304.63/x
3. Step 3: Cross multiply
   142.47x = 304.63 × 304.63
4. Step 4: Simplify right side
   142.47x = 92,796.39
5. Step 5: Solve for x
   x = 92,796.39/142.47
6. Step 6: Final answer
   x = 651.35