Finding the Third Proportional to 88.31 and 189.69

Step by Step Solution

1. Step 1: Write the proportion equation
   88.31 : 189.69 = 189.69 : x
2. Step 2: Convert to fraction form
   88.31/189.69 = 189.69/x
3. Step 3: Cross multiply
   88.31x = 189.69 × 189.69
4. Step 4: Simplify right side
   88.31x = 35,981.35
5. Step 5: Solve for x
   x = 35,981.35/88.31
6. Step 6: Final answer
   x = 407.43