Finding the Third Proportional to 68.47 and 111.78

Step by Step Solution

1. Step 1: Write the proportion equation
   68.47 : 111.78 = 111.78 : x
2. Step 2: Convert to fraction form
   68.47/111.78 = 111.78/x
3. Step 3: Cross multiply
   68.47x = 111.78 × 111.78
4. Step 4: Simplify right side
   68.47x = 12,495.05
5. Step 5: Solve for x
   x = 12,495.05/68.47
6. Step 6: Final answer
   x = 182.49