Finding the Third Proportional to 50,048 and 106,784

Step by Step Solution

1. Step 1: Write the proportion equation
   50,048 : 106,784 = 106,784 : x
2. Step 2: Convert to fraction form
   50,048/106,784 = 106,784/x
3. Step 3: Cross multiply
   50,048x = 106,784 × 106,784
4. Step 4: Simplify right side
   50,048x = 11,402,822,656
5. Step 5: Solve for x
   x = 11,402,822,656/50,048
6. Step 6: Final answer
   x = 227,837.73