Finding the Third Proportional to 152.50 and 241.38

Step by Step Solution

1. Step 1: Write the proportion equation
   152.50 : 241.38 = 241.38 : x
2. Step 2: Convert to fraction form
   152.50/241.38 = 241.38/x
3. Step 3: Cross multiply
   152.50x = 241.38 × 241.38
4. Step 4: Simplify right side
   152.50x = 58,261.89
5. Step 5: Solve for x
   x = 58,261.89/152.50
6. Step 6: Final answer
   x = 382.05