Finding the Third Proportional to 50,006 and 118,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,006 : 118,043.50 = 118,043.50 : x
2. Step 2: Convert to fraction form
   50,006/118,043.50 = 118,043.50/x
3. Step 3: Cross multiply
   50,006x = 118,043.50 × 118,043.50
4. Step 4: Simplify right side
   50,006x = 13,934,267,892.25
5. Step 5: Solve for x
   x = 13,934,267,892.25/50,006
6. Step 6: Final answer
   x = 278,651.92