Finding the Third Proportional to 117.70 and 187.31

Step by Step Solution

1. Step 1: Write the proportion equation
   117.70 : 187.31 = 187.31 : x
2. Step 2: Convert to fraction form
   117.70/187.31 = 187.31/x
3. Step 3: Cross multiply
   117.70x = 187.31 × 187.31
4. Step 4: Simplify right side
   117.70x = 35,085.97
5. Step 5: Solve for x
   x = 35,085.97/117.70
6. Step 6: Final answer
   x = 298.09