Finding the Third Proportional to 102.52 and 145.23

Step by Step Solution

1. Step 1: Write the proportion equation
   102.52 : 145.23 = 145.23 : x
2. Step 2: Convert to fraction form
   102.52/145.23 = 145.23/x
3. Step 3: Cross multiply
   102.52x = 145.23 × 145.23
4. Step 4: Simplify right side
   102.52x = 21,091.89
5. Step 5: Solve for x
   x = 21,091.89/102.52
6. Step 6: Final answer
   x = 205.74