Finding the Third Proportional to 48,980 and 105,736

Step by Step Solution

1. Step 1: Write the proportion equation
   48,980 : 105,736 = 105,736 : x
2. Step 2: Convert to fraction form
   48,980/105,736 = 105,736/x
3. Step 3: Cross multiply
   48,980x = 105,736 × 105,736
4. Step 4: Simplify right side
   48,980x = 11,180,101,696
5. Step 5: Solve for x
   x = 11,180,101,696/48,980
6. Step 6: Final answer
   x = 228,258.51