Finding the Third Proportional to 101.91 and 123.09

Step by Step Solution

1. Step 1: Write the proportion equation
   101.91 : 123.09 = 123.09 : x
2. Step 2: Convert to fraction form
   101.91/123.09 = 123.09/x
3. Step 3: Cross multiply
   101.91x = 123.09 × 123.09
4. Step 4: Simplify right side
   101.91x = 15,152.07
5. Step 5: Solve for x
   x = 15,152.07/101.91
6. Step 6: Final answer
   x = 148.69