Finding the Third Proportional to 105 and 152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105 : 152.50 = 152.50 : x
2. Step 2: Convert to fraction form
   105/152.50 = 152.50/x
3. Step 3: Cross multiply
   105x = 152.50 × 152.50
4. Step 4: Simplify right side
   105x = 23,256.25
5. Step 5: Solve for x
   x = 23,256.25/105
6. Step 6: Final answer
   x = 221.49