Finding the Third Proportional to 72.77 and 158.84

Step by Step Solution

1. Step 1: Write the proportion equation
   72.77 : 158.84 = 158.84 : x
2. Step 2: Convert to fraction form
   72.77/158.84 = 158.84/x
3. Step 3: Cross multiply
   72.77x = 158.84 × 158.84
4. Step 4: Simplify right side
   72.77x = 25,228.86
5. Step 5: Solve for x
   x = 25,228.86/72.77
6. Step 6: Final answer
   x = 346.68