Finding the Third Proportional to 61.50 and 150.38

Step by Step Solution

1. Step 1: Write the proportion equation
   61.50 : 150.38 = 150.38 : x
2. Step 2: Convert to fraction form
   61.50/150.38 = 150.38/x
3. Step 3: Cross multiply
   61.50x = 150.38 × 150.38
4. Step 4: Simplify right side
   61.50x = 22,612.64
5. Step 5: Solve for x
   x = 22,612.64/61.50
6. Step 6: Final answer
   x = 367.69