Finding the Third Proportional to 72.84 and 158.53

Step by Step Solution

1. Step 1: Write the proportion equation
   72.84 : 158.53 = 158.53 : x
2. Step 2: Convert to fraction form
   72.84/158.53 = 158.53/x
3. Step 3: Cross multiply
   72.84x = 158.53 × 158.53
4. Step 4: Simplify right side
   72.84x = 25,132.16
5. Step 5: Solve for x
   x = 25,132.16/72.84
6. Step 6: Final answer
   x = 345.01