Finding the Third Proportional to 42.94 and 116.06

Step by Step Solution

1. Step 1: Write the proportion equation
   42.94 : 116.06 = 116.06 : x
2. Step 2: Convert to fraction form
   42.94/116.06 = 116.06/x
3. Step 3: Cross multiply
   42.94x = 116.06 × 116.06
4. Step 4: Simplify right side
   42.94x = 13,470.50
5. Step 5: Solve for x
   x = 13,470.50/42.94
6. Step 6: Final answer
   x = 313.72