Finding the Third Proportional to 152.16 and 229.78

Step by Step Solution

1. Step 1: Write the proportion equation
   152.16 : 229.78 = 229.78 : x
2. Step 2: Convert to fraction form
   152.16/229.78 = 229.78/x
3. Step 3: Cross multiply
   152.16x = 229.78 × 229.78
4. Step 4: Simplify right side
   152.16x = 52,799.42
5. Step 5: Solve for x
   x = 52,799.42/152.16
6. Step 6: Final answer
   x = 347.01