Finding the Third Proportional to 99.94 and 201.38

Step by Step Solution

1. Step 1: Write the proportion equation
   99.94 : 201.38 = 201.38 : x
2. Step 2: Convert to fraction form
   99.94/201.38 = 201.38/x
3. Step 3: Cross multiply
   99.94x = 201.38 × 201.38
4. Step 4: Simplify right side
   99.94x = 40,551.89
5. Step 5: Solve for x
   x = 40,551.89/99.94
6. Step 6: Final answer
   x = 405.77