Finding the Third Proportional to 50,112 and 107,784

Step by Step Solution

1. Step 1: Write the proportion equation
   50,112 : 107,784 = 107,784 : x
2. Step 2: Convert to fraction form
   50,112/107,784 = 107,784/x
3. Step 3: Cross multiply
   50,112x = 107,784 × 107,784
4. Step 4: Simplify right side
   50,112x = 11,617,390,656
5. Step 5: Solve for x
   x = 11,617,390,656/50,112
6. Step 6: Final answer
   x = 231,828.52