Finding the Third Proportional to 50,180.50 and 75,696

Step by Step Solution

1. Step 1: Write the proportion equation
   50,180.50 : 75,696 = 75,696 : x
2. Step 2: Convert to fraction form
   50,180.50/75,696 = 75,696/x
3. Step 3: Cross multiply
   50,180.50x = 75,696 × 75,696
4. Step 4: Simplify right side
   50,180.50x = 5,729,884,416
5. Step 5: Solve for x
   x = 5,729,884,416/50,180.50
6. Step 6: Final answer
   x = 114,185.48