Finding the Third Proportional to 191.33 and 414.69

Step by Step Solution

1. Step 1: Write the proportion equation
   191.33 : 414.69 = 414.69 : x
2. Step 2: Convert to fraction form
   191.33/414.69 = 414.69/x
3. Step 3: Cross multiply
   191.33x = 414.69 × 414.69
4. Step 4: Simplify right side
   191.33x = 171,967.75
5. Step 5: Solve for x
   x = 171,967.75/191.33
6. Step 6: Final answer
   x = 898.82