Finding the Third Proportional to 74.50 and 175.38

Step by Step Solution

1. Step 1: Write the proportion equation
   74.50 : 175.38 = 175.38 : x
2. Step 2: Convert to fraction form
   74.50/175.38 = 175.38/x
3. Step 3: Cross multiply
   74.50x = 175.38 × 175.38
4. Step 4: Simplify right side
   74.50x = 30,756.39
5. Step 5: Solve for x
   x = 30,756.39/74.50
6. Step 6: Final answer
   x = 412.84