Finding the Third Proportional to 180.50 and 389.38

Step by Step Solution

1. Step 1: Write the proportion equation
   180.50 : 389.38 = 389.38 : x
2. Step 2: Convert to fraction form
   180.50/389.38 = 389.38/x
3. Step 3: Cross multiply
   180.50x = 389.38 × 389.38
4. Step 4: Simplify right side
   180.50x = 151,612.89
5. Step 5: Solve for x
   x = 151,612.89/180.50
6. Step 6: Final answer
   x = 839.96