Finding the Third Proportional to 299.31 and 334.82

Step by Step Solution

1. Step 1: Write the proportion equation
   299.31 : 334.82 = 334.82 : x
2. Step 2: Convert to fraction form
   299.31/334.82 = 334.82/x
3. Step 3: Cross multiply
   299.31x = 334.82 × 334.82
4. Step 4: Simplify right side
   299.31x = 112,106.73
5. Step 5: Solve for x
   x = 112,106.73/299.31
6. Step 6: Final answer
   x = 374.55