Finding the Third Proportional to 46.88 and 116.06

Step by Step Solution

1. Step 1: Write the proportion equation
   46.88 : 116.06 = 116.06 : x
2. Step 2: Convert to fraction form
   46.88/116.06 = 116.06/x
3. Step 3: Cross multiply
   46.88x = 116.06 × 116.06
4. Step 4: Simplify right side
   46.88x = 13,470.50
5. Step 5: Solve for x
   x = 13,470.50/46.88
6. Step 6: Final answer
   x = 287.37