Finding the Third Proportional to 139.92 and 335.46

Step by Step Solution

1. Step 1: Write the proportion equation
   139.92 : 335.46 = 335.46 : x
2. Step 2: Convert to fraction form
   139.92/335.46 = 335.46/x
3. Step 3: Cross multiply
   139.92x = 335.46 × 335.46
4. Step 4: Simplify right side
   139.92x = 112,534.04
5. Step 5: Solve for x
   x = 112,534.04/139.92
6. Step 6: Final answer
   x = 804.26