Finding the Third Proportional to 48,229.25 and 105,796

Step by Step Solution

1. Step 1: Write the proportion equation
   48,229.25 : 105,796 = 105,796 : x
2. Step 2: Convert to fraction form
   48,229.25/105,796 = 105,796/x
3. Step 3: Cross multiply
   48,229.25x = 105,796 × 105,796
4. Step 4: Simplify right side
   48,229.25x = 11,192,793,616
5. Step 5: Solve for x
   x = 11,192,793,616/48,229.25
6. Step 6: Final answer
   x = 232,074.80