Finding the Third Proportional to 50,507 and 109,856

Step by Step Solution

1. Step 1: Write the proportion equation
   50,507 : 109,856 = 109,856 : x
2. Step 2: Convert to fraction form
   50,507/109,856 = 109,856/x
3. Step 3: Cross multiply
   50,507x = 109,856 × 109,856
4. Step 4: Simplify right side
   50,507x = 12,068,340,736
5. Step 5: Solve for x
   x = 12,068,340,736/50,507
6. Step 6: Final answer
   x = 238,943.92