Finding the Third Proportional to 160.38 and 389.94

Step by Step Solution

1. Step 1: Write the proportion equation
   160.38 : 389.94 = 389.94 : x
2. Step 2: Convert to fraction form
   160.38/389.94 = 389.94/x
3. Step 3: Cross multiply
   160.38x = 389.94 × 389.94
4. Step 4: Simplify right side
   160.38x = 152,051.25
5. Step 5: Solve for x
   x = 152,051.25/160.38
6. Step 6: Final answer
   x = 948.10