Finding the Third Proportional to 52.50 and 141.94

Step by Step Solution

1. Step 1: Write the proportion equation
   52.50 : 141.94 = 141.94 : x
2. Step 2: Convert to fraction form
   52.50/141.94 = 141.94/x
3. Step 3: Cross multiply
   52.50x = 141.94 × 141.94
4. Step 4: Simplify right side
   52.50x = 20,146.25
5. Step 5: Solve for x
   x = 20,146.25/52.50
6. Step 6: Final answer
   x = 383.74