Finding the Third Proportional to 147.94 and 345.38

Step by Step Solution

1. Step 1: Write the proportion equation
   147.94 : 345.38 = 345.38 : x
2. Step 2: Convert to fraction form
   147.94/345.38 = 345.38/x
3. Step 3: Cross multiply
   147.94x = 345.38 × 345.38
4. Step 4: Simplify right side
   147.94x = 119,283.89
5. Step 5: Solve for x
   x = 119,283.89/147.94
6. Step 6: Final answer
   x = 806.31