Finding the Third Proportional to 102.52 and 152.72

Step by Step Solution

1. Step 1: Write the proportion equation
   102.52 : 152.72 = 152.72 : x
2. Step 2: Convert to fraction form
   102.52/152.72 = 152.72/x
3. Step 3: Cross multiply
   102.52x = 152.72 × 152.72
4. Step 4: Simplify right side
   102.52x = 23,323.02
5. Step 5: Solve for x
   x = 23,323.02/102.52
6. Step 6: Final answer
   x = 227.51