Finding the Third Proportional to 101.67 and 154.83

Step by Step Solution

1. Step 1: Write the proportion equation
   101.67 : 154.83 = 154.83 : x
2. Step 2: Convert to fraction form
   101.67/154.83 = 154.83/x
3. Step 3: Cross multiply
   101.67x = 154.83 × 154.83
4. Step 4: Simplify right side
   101.67x = 23,971.75
5. Step 5: Solve for x
   x = 23,971.75/101.67
6. Step 6: Final answer
   x = 235.78