Finding the Third Proportional to 49,257 and 109,995.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,257 : 109,995.75 = 109,995.75 : x
2. Step 2: Convert to fraction form
   49,257/109,995.75 = 109,995.75/x
3. Step 3: Cross multiply
   49,257x = 109,995.75 × 109,995.75
4. Step 4: Simplify right side
   49,257x = 12,099,065,018.06
5. Step 5: Solve for x
   x = 12,099,065,018.06/49,257
6. Step 6: Final answer
   x = 245,631.38