Finding the Third Proportional to 50,884.50 and 106,413

Step by Step Solution

1. Step 1: Write the proportion equation
   50,884.50 : 106,413 = 106,413 : x
2. Step 2: Convert to fraction form
   50,884.50/106,413 = 106,413/x
3. Step 3: Cross multiply
   50,884.50x = 106,413 × 106,413
4. Step 4: Simplify right side
   50,884.50x = 11,323,726,569
5. Step 5: Solve for x
   x = 11,323,726,569/50,884.50
6. Step 6: Final answer
   x = 222,537.84