Finding the Third Proportional to 194 and 300.25

Step by Step Solution

1. Step 1: Write the proportion equation
   194 : 300.25 = 300.25 : x
2. Step 2: Convert to fraction form
   194/300.25 = 300.25/x
3. Step 3: Cross multiply
   194x = 300.25 × 300.25
4. Step 4: Simplify right side
   194x = 90,150.06
5. Step 5: Solve for x
   x = 90,150.06/194
6. Step 6: Final answer
   x = 464.69