Finding the Third Proportional to 50,228 and 75,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,228 : 75,989.50 = 75,989.50 : x
2. Step 2: Convert to fraction form
   50,228/75,989.50 = 75,989.50/x
3. Step 3: Cross multiply
   50,228x = 75,989.50 × 75,989.50
4. Step 4: Simplify right side
   50,228x = 5,774,404,110.25
5. Step 5: Solve for x
   x = 5,774,404,110.25/50,228
6. Step 6: Final answer
   x = 114,963.85