Finding the Third Proportional to 180.50 and 383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180.50 : 383.50 = 383.50 : x
2. Step 2: Convert to fraction form
   180.50/383.50 = 383.50/x
3. Step 3: Cross multiply
   180.50x = 383.50 × 383.50
4. Step 4: Simplify right side
   180.50x = 147,072.25
5. Step 5: Solve for x
   x = 147,072.25/180.50
6. Step 6: Final answer
   x = 814.80