Finding the Third Proportional to 102.52 and 152.35

Step by Step Solution

1. Step 1: Write the proportion equation
   102.52 : 152.35 = 152.35 : x
2. Step 2: Convert to fraction form
   102.52/152.35 = 152.35/x
3. Step 3: Cross multiply
   102.52x = 152.35 × 152.35
4. Step 4: Simplify right side
   102.52x = 23,210.40
5. Step 5: Solve for x
   x = 23,210.40/102.52
6. Step 6: Final answer
   x = 226.41