Finding the Third Proportional to 139.96 and 334.76

Step by Step Solution

1. Step 1: Write the proportion equation
   139.96 : 334.76 = 334.76 : x
2. Step 2: Convert to fraction form
   139.96/334.76 = 334.76/x
3. Step 3: Cross multiply
   139.96x = 334.76 × 334.76
4. Step 4: Simplify right side
   139.96x = 112,062.79
5. Step 5: Solve for x
   x = 112,062.79/139.96
6. Step 6: Final answer
   x = 800.69