Finding the Third Proportional to 191.69 and 288.06

Step by Step Solution

1. Step 1: Write the proportion equation
   191.69 : 288.06 = 288.06 : x
2. Step 2: Convert to fraction form
   191.69/288.06 = 288.06/x
3. Step 3: Cross multiply
   191.69x = 288.06 × 288.06
4. Step 4: Simplify right side
   191.69x = 82,980.00
5. Step 5: Solve for x
   x = 82,980.00/191.69
6. Step 6: Final answer
   x = 432.89