Finding the Third Proportional to 102 and 148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102 : 148.50 = 148.50 : x
2. Step 2: Convert to fraction form
   102/148.50 = 148.50/x
3. Step 3: Cross multiply
   102x = 148.50 × 148.50
4. Step 4: Simplify right side
   102x = 22,052.25
5. Step 5: Solve for x
   x = 22,052.25/102
6. Step 6: Final answer
   x = 216.20