Finding the Third Proportional to 72.56 and 157.78

Step by Step Solution

1. Step 1: Write the proportion equation
   72.56 : 157.78 = 157.78 : x
2. Step 2: Convert to fraction form
   72.56/157.78 = 157.78/x
3. Step 3: Cross multiply
   72.56x = 157.78 × 157.78
4. Step 4: Simplify right side
   72.56x = 24,894.92
5. Step 5: Solve for x
   x = 24,894.92/72.56
6. Step 6: Final answer
   x = 343.08