Finding the Third Proportional to 153.38 and 371.38

Step by Step Solution

1. Step 1: Write the proportion equation
   153.38 : 371.38 = 371.38 : x
2. Step 2: Convert to fraction form
   153.38/371.38 = 371.38/x
3. Step 3: Cross multiply
   153.38x = 371.38 × 371.38
4. Step 4: Simplify right side
   153.38x = 137,919.39
5. Step 5: Solve for x
   x = 137,919.39/153.38
6. Step 6: Final answer
   x = 899.23