Finding the Third Proportional to 56.50 and 110.38

Step by Step Solution

1. Step 1: Write the proportion equation
   56.50 : 110.38 = 110.38 : x
2. Step 2: Convert to fraction form
   56.50/110.38 = 110.38/x
3. Step 3: Cross multiply
   56.50x = 110.38 × 110.38
4. Step 4: Simplify right side
   56.50x = 12,182.64
5. Step 5: Solve for x
   x = 12,182.64/56.50
6. Step 6: Final answer
   x = 215.62