Finding the Third Proportional to 49,856 and 109,072

Step by Step Solution

1. Step 1: Write the proportion equation
   49,856 : 109,072 = 109,072 : x
2. Step 2: Convert to fraction form
   49,856/109,072 = 109,072/x
3. Step 3: Cross multiply
   49,856x = 109,072 × 109,072
4. Step 4: Simplify right side
   49,856x = 11,896,701,184
5. Step 5: Solve for x
   x = 11,896,701,184/49,856
6. Step 6: Final answer
   x = 238,621.25