Finding the Third Proportional to 49,856 and 110,076

Step by Step Solution

1. Step 1: Write the proportion equation
   49,856 : 110,076 = 110,076 : x
2. Step 2: Convert to fraction form
   49,856/110,076 = 110,076/x
3. Step 3: Cross multiply
   49,856x = 110,076 × 110,076
4. Step 4: Simplify right side
   49,856x = 12,116,725,776
5. Step 5: Solve for x
   x = 12,116,725,776/49,856
6. Step 6: Final answer
   x = 243,034.45