Finding the Third Proportional to 50,380 and 110,696

Step by Step Solution

1. Step 1: Write the proportion equation
   50,380 : 110,696 = 110,696 : x
2. Step 2: Convert to fraction form
   50,380/110,696 = 110,696/x
3. Step 3: Cross multiply
   50,380x = 110,696 × 110,696
4. Step 4: Simplify right side
   50,380x = 12,253,604,416
5. Step 5: Solve for x
   x = 12,253,604,416/50,380
6. Step 6: Final answer
   x = 243,223.59