Finding the Third Proportional to 191.64 and 433.27

Step by Step Solution

1. Step 1: Write the proportion equation
   191.64 : 433.27 = 433.27 : x
2. Step 2: Convert to fraction form
   191.64/433.27 = 433.27/x
3. Step 3: Cross multiply
   191.64x = 433.27 × 433.27
4. Step 4: Simplify right side
   191.64x = 187,719.10
5. Step 5: Solve for x
   x = 187,719.10/191.64
6. Step 6: Final answer
   x = 979.56