Finding the Third Proportional to 367.50 and 505.38

Step by Step Solution

1. Step 1: Write the proportion equation
   367.50 : 505.38 = 505.38 : x
2. Step 2: Convert to fraction form
   367.50/505.38 = 505.38/x
3. Step 3: Cross multiply
   367.50x = 505.38 × 505.38
4. Step 4: Simplify right side
   367.50x = 255,403.89
5. Step 5: Solve for x
   x = 255,403.89/367.50
6. Step 6: Final answer
   x = 694.98