Finding the Third Proportional to 152.50 and 241.63

Step by Step Solution

1. Step 1: Write the proportion equation
   152.50 : 241.63 = 241.63 : x
2. Step 2: Convert to fraction form
   152.50/241.63 = 241.63/x
3. Step 3: Cross multiply
   152.50x = 241.63 × 241.63
4. Step 4: Simplify right side
   152.50x = 58,382.64
5. Step 5: Solve for x
   x = 58,382.64/152.50
6. Step 6: Final answer
   x = 382.84