Finding the Third Proportional to 152.72 and 284.34

Step by Step Solution

1. Step 1: Write the proportion equation
   152.72 : 284.34 = 284.34 : x
2. Step 2: Convert to fraction form
   152.72/284.34 = 284.34/x
3. Step 3: Cross multiply
   152.72x = 284.34 × 284.34
4. Step 4: Simplify right side
   152.72x = 80,851.37
5. Step 5: Solve for x
   x = 80,851.37/152.72
6. Step 6: Final answer
   x = 529.41