Finding the Third Proportional to 49.64 and 109.83

Step by Step Solution

1. Step 1: Write the proportion equation
   49.64 : 109.83 = 109.83 : x
2. Step 2: Convert to fraction form
   49.64/109.83 = 109.83/x
3. Step 3: Cross multiply
   49.64x = 109.83 × 109.83
4. Step 4: Simplify right side
   49.64x = 12,062.22
5. Step 5: Solve for x
   x = 12,062.22/49.64
6. Step 6: Final answer
   x = 242.99