Finding the Third Proportional to 123.89 and 189.07

Step by Step Solution

1. Step 1: Write the proportion equation
   123.89 : 189.07 = 189.07 : x
2. Step 2: Convert to fraction form
   123.89/189.07 = 189.07/x
3. Step 3: Cross multiply
   123.89x = 189.07 × 189.07
4. Step 4: Simplify right side
   123.89x = 35,747.58
5. Step 5: Solve for x
   x = 35,747.58/123.89
6. Step 6: Final answer
   x = 288.54