Finding the Third Proportional to 45.50 and 109.38

Step by Step Solution

1. Step 1: Write the proportion equation
   45.50 : 109.38 = 109.38 : x
2. Step 2: Convert to fraction form
   45.50/109.38 = 109.38/x
3. Step 3: Cross multiply
   45.50x = 109.38 × 109.38
4. Step 4: Simplify right side
   45.50x = 11,962.89
5. Step 5: Solve for x
   x = 11,962.89/45.50
6. Step 6: Final answer
   x = 262.92