Finding the Third Proportional to 49,540.50 and 107,829

Step by Step Solution

1. Step 1: Write the proportion equation
   49,540.50 : 107,829 = 107,829 : x
2. Step 2: Convert to fraction form
   49,540.50/107,829 = 107,829/x
3. Step 3: Cross multiply
   49,540.50x = 107,829 × 107,829
4. Step 4: Simplify right side
   49,540.50x = 11,627,093,241
5. Step 5: Solve for x
   x = 11,627,093,241/49,540.50
6. Step 6: Final answer
   x = 234,698.75