Finding the Third Proportional to 116.81 and 191.06

Step by Step Solution

1. Step 1: Write the proportion equation
   116.81 : 191.06 = 191.06 : x
2. Step 2: Convert to fraction form
   116.81/191.06 = 191.06/x
3. Step 3: Cross multiply
   116.81x = 191.06 × 191.06
4. Step 4: Simplify right side
   116.81x = 36,504.88
5. Step 5: Solve for x
   x = 36,504.88/116.81
6. Step 6: Final answer
   x = 312.51