Finding the Third Proportional to 78.31 and 116.94

Step by Step Solution

1. Step 1: Write the proportion equation
   78.31 : 116.94 = 116.94 : x
2. Step 2: Convert to fraction form
   78.31/116.94 = 116.94/x
3. Step 3: Cross multiply
   78.31x = 116.94 × 116.94
4. Step 4: Simplify right side
   78.31x = 13,674.38
5. Step 5: Solve for x
   x = 13,674.38/78.31
6. Step 6: Final answer
   x = 174.61