Finding the Third Proportional to 42.19 and 88.69

Step by Step Solution

1. Step 1: Write the proportion equation
   42.19 : 88.69 = 88.69 : x
2. Step 2: Convert to fraction form
   42.19/88.69 = 88.69/x
3. Step 3: Cross multiply
   42.19x = 88.69 × 88.69
4. Step 4: Simplify right side
   42.19x = 7,865.47
5. Step 5: Solve for x
   x = 7,865.47/42.19
6. Step 6: Final answer
   x = 186.44