Finding the Third Proportional to 50,024 and 118,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,024 : 118,084.50 = 118,084.50 : x
2. Step 2: Convert to fraction form
   50,024/118,084.50 = 118,084.50/x
3. Step 3: Cross multiply
   50,024x = 118,084.50 × 118,084.50
4. Step 4: Simplify right side
   50,024x = 13,943,949,140.25
5. Step 5: Solve for x
   x = 13,943,949,140.25/50,024
6. Step 6: Final answer
   x = 278,745.19