Finding the Third Proportional to 116.96 and 191.27

Step by Step Solution

1. Step 1: Write the proportion equation
   116.96 : 191.27 = 191.27 : x
2. Step 2: Convert to fraction form
   116.96/191.27 = 191.27/x
3. Step 3: Cross multiply
   116.96x = 191.27 × 191.27
4. Step 4: Simplify right side
   116.96x = 36,583.29
5. Step 5: Solve for x
   x = 36,583.29/116.96
6. Step 6: Final answer
   x = 312.77