Finding the Third Proportional to 147.25 and 341.38

Step by Step Solution

1. Step 1: Write the proportion equation
   147.25 : 341.38 = 341.38 : x
2. Step 2: Convert to fraction form
   147.25/341.38 = 341.38/x
3. Step 3: Cross multiply
   147.25x = 341.38 × 341.38
4. Step 4: Simplify right side
   147.25x = 116,536.89
5. Step 5: Solve for x
   x = 116,536.89/147.25
6. Step 6: Final answer
   x = 791.42