Finding the Third Proportional to 191.32 and 288.35

Step by Step Solution

1. Step 1: Write the proportion equation
   191.32 : 288.35 = 288.35 : x
2. Step 2: Convert to fraction form
   191.32/288.35 = 288.35/x
3. Step 3: Cross multiply
   191.32x = 288.35 × 288.35
4. Step 4: Simplify right side
   191.32x = 83,146.62
5. Step 5: Solve for x
   x = 83,146.62/191.32
6. Step 6: Final answer
   x = 434.59