Finding the Third Proportional to 50,776 and 110,264

Step by Step Solution

1. Step 1: Write the proportion equation
   50,776 : 110,264 = 110,264 : x
2. Step 2: Convert to fraction form
   50,776/110,264 = 110,264/x
3. Step 3: Cross multiply
   50,776x = 110,264 × 110,264
4. Step 4: Simplify right side
   50,776x = 12,158,149,696
5. Step 5: Solve for x
   x = 12,158,149,696/50,776
6. Step 6: Final answer
   x = 239,446.78